AreaVibes reveals the best places to live in Wyoming for 2016 using our Livability Score. The Livability Score for each city in Wyoming is calculated out of 100 from a unique algorithm based on various metrics, including: amenities, cost of living, crime, education, employment, housing and weather. Wyoming has a population of 575,251 and a population density of 5.9 people per square mile. The capital city is Cheyenne and the largest city in Wyoming is Cheyenne. To filter the results, use the dropdown options to sort by population or category.