According to the census of 2000, there are 3,053 people, 1,947 households, and 1,006 families residing in the town. The population density is 1,386.8/km² (3,584.9/mi²). There are 2,067 housing units at an average density of 938.9/km² (2,427.1/mi²). The racial makeup of the town is 98.56% White, 0.82% African American, 0.00% Native American, 0.29% Asian, 0.00% Pacific Islander, 0.00% from other races, and 0.33% from two or more races. 0.69% of the population are Hispanic or Latino of any race.
There are 1,947 households out of which 0.5% have children under the age of 18 living with them, 49.2% are married couples living together, 2.2% have a female householder with no husband present, and 48.3% are non-families. 46.2% of all households are made up of individuals and 44.1% have someone living alone who is 65 years of age or older. The average household size is 1.57 and the average family size is 2.06.
In the town the population is spread out with 0.8% under the age of 18, 0.1% from 18 to 24, 1.1% from 25 to 44, 7.6% from 45 to 64, and 90.4% who are 65 years of age or older. The median age is 76 years. For every 100 females there are 66.2 males. For every 100 females age 18 and over, there are 66.1 males.
The median income for a household in the town is $36,506, and the median income for a family is $49,228. Males have a median income of $36,429 versus $49,375 for females. The per capita income for the town is $29,688. 2.2% of the population and 0.0% of families are below the poverty line. Out of the total people living in poverty, 0.0% are under the age of 18 and 2.2% are 65 or older.