AreaVibes reveals the best places to live in Vermont for 2016 using our Livability Score. The Livability Score for each city in Vermont is calculated out of 100 from a unique algorithm based on various metrics, including: amenities, cost of living, crime, education, employment, housing and weather. Vermont has a population of 626,358 and a population density of 65.1 people per square mile. The capital city is Montpelier and the largest city in Vermont is Burlington. To filter the results, use the dropdown options to sort by population or category.