As of the censusGR2 of 2000, there were 3,775 people, 2,192 households, and 1,227 families residing in the town. The population density was 2,974.6/km² (7,705.7/mi²). There were 3,677 housing units at an average density of 2,897.3/km² (7,505.6/mi²).
There were 2,192 households out of which 4.6% had children under the age of 18 living with them, 53.2% were married couples living together, 1.5% had a female householder with no husband present, and 44.0% were non-families. 38.1% of all households were made up of individuals and 23.4% had someone living alone who was 65 years of age or older. The average household size was 1.72 and the average family size was 2.15.
In the town the population was spread out with 3.9% under the age of 18, 1.4% from 18 to 24, 12.7% from 25 to 44, 28.8% from 45 to 64, and 53.3% who were 65 years of age or older. The median age was 66 years. For every 100 females there were 88.4 males. For every 100 females age 18 and over, there were 87.8 males.
The median income for a household in the town was $72,989, and the median income for a family was $95,217. Males had a median income of $87,160 versus $40,357 for females. The per capita income for the town was $67,288. None of the families and 2.1% of the population were living below the poverty line, including no under eighteens and 2.0% of those over 64.