The central village in town, where over 42% of the population resides, is defined as the Pittsfield census-designated place (CDP), and is located on the Suncook River near the junction of New Hampshire Routes 28 and 107.
As of the census of 2000, there were 3,931 people, 1,498 households, and 1,056 families residing in the town. The population density was 166.8 people per square mile (64.4/km²). There were 1,569 housing units at an average density of 25.7 persons/km² (66.6 persons/sq mi). The racial makeup of the town was 97.38% White, 0.38% African American, 0.13% Native American, 0.10% Asian, 0.00% Pacific Islander, 0.25% from other races, and 1.76% from two or more races. 1.14% of the population were Hispanic or Latino of any race.
There were 1,498 households out of which 35.6% had children under the age of 18 living with them, 52.0% were married couples living together, 13.4% have a woman whose husband does not live with her, and 29.5% were non-families. 22.6% of all households were made up of individuals and 7.7% had someone living alone who was 65 years of age or older. The average household size was 2.62 and the average family size was 3.05.
In the town the population was spread out with 28.2% under the age of 18, 8.1% from 18 to 24, 32.3% from 25 to 44, 21.1% from 45 to 64, and 10.4% who were 65 years of age or older. The median age was 35 years. For every 100 females there were 93.4 males. For every 100 females age 18 and over, there were 93.2 males.
The median income for a household in the town was $38,833, and the median income for a family was $44,233. Males had a median income of $31,726 versus $24,750 for females. The per capita income for the town was $21,082. 8.8% of the population and 6.8% of families were below the poverty line. Out of the total people living in poverty, 11.6% are under the age of 18 and 6.6% are 65 or older.
As of the census of 2000, there were 1,669 people, 671 households, and 434 families residing in the central village, or census-designated place. The population density was 1,029.3 people per square mile (397.8/km²). There were 699 housing units at an average density of 166.6 persons/km² (431.1 persons/sq mi). The racial makeup of the district was 97.18% White, 0.24% African American, 0.24% Native American, 0.06% Asian, 0.00% Pacific Islander, 0.12% from other races, and 2.16% from two or more races. 1.68% of the population were Hispanic or Latino of any race.
There were 671 households out of which 35.3% had children under the age of 18 living with them, 43.5% were married couples living together, 15.4% have a woman whose husband does not live with her, and 35.3% were non-families. 28.3% of all households were made up of individuals and 10.4% had someone living alone who was 65 years of age or older. The average household size was 2.49 and the average family size was 3.02.
In the village the population was spread out with 28.4% under the age of 18, 8.7% from 18 to 24, 30.6% from 25 to 44, 20.5% from 45 to 64, and 11.9% who were 65 years of age or older. The median age was 34 years. For every 100 females there were 89.4 males. For every 100 females age 18 and over, there were 89.1 males.
The median income for a household in the district was $33,194, and the median income for a family was $43,690. Males had a median income of $28,988 versus $22,250 for females. The per capita income is $17,845. 11.7% of the population and 10.6% of families were below the poverty line. Out of the total people living in poverty, 13.7% are under the age of 18 and 10.8% are 65 or older.