As of the census of 2000, there were 4,041 people, 1,727 households, and 1,065 families residing in the city. The population density was 566.8 people per square mile (218.8/km²). There were 2,205 housing units at an average density of 309.3/sq mi (119.4/km²). The racial makeup of the city was 89.14% White, 0.32% African American, 3.12% Native American, 1.09% Asian, 0.35% Pacific Islander, 3.71% from other races, and 2.28% from two or more races. Hispanic or Latino of any race were 12.35% of the population.
There were 1,727 households out of which 28.6% had children under the age of 18 living with them, 46.4% were married couples living together, 10.2% had a female householder with no husband present, and 38.3% were non-families. 33.7% of all households were made up of individuals and 13.1% had someone living alone who was 65 years of age or older. The average household size was 2.30 and the average family size was 2.94.
In the city the population was spread out with 25.7% under the age of 18, 6.3% from 18 to 24, 23.8% from 25 to 44, 27.0% from 45 to 64, and 17.2% who were 65 years of age or older. The median age was 41 years. For every 100 females there were 98.3 males. For every 100 females age 18 and over, there were 96.0 males.
The median income for a household in the city was $36,408, and the median income for a family was $42,168. Males had a median income of $36,016 versus $26,597 for females. The per capita income for the city was $17,013. About 11.3% of families and 12.5% of the population were below the poverty line, including 12.0% of those under age 18 and 9.2% of those age 65 or over.
Commercial air service is available at Ely Airport.
Major roads include:
The historic Lincoln Highway, the first road across America, went through Ely, entering town from the north on U.S. Route 93 and departing town to the west on U.S. Route 50.