The word "village" is not used in most states. However, in twenty US states, a "village" is a sort of local government, similar to a city but with less power and for a smaller place. But this is not so in all the United States. In many states, there are villages which are bigger than the smallest cities in the state. The difference is not the population, it is how much power the different sorts of places have, and what they do for people living there.