AreaVibes reveals the best places to live in North Carolina for 2016 using our Livability Score. The Livability Score for each city in North Carolina is calculated out of 100 from a unique algorithm based on various metrics, including: amenities, cost of living, crime, education, employment, housing and weather. North Carolina has a population of 9,750,405 and a population density of 181.1 people per square mile. The capital city is Raleigh and the largest city in North Carolina is Charlotte. To filter the results, use the dropdown options to sort by population or category.