Mitchell is a city located in the U.S. state of Indiana. It is within Lawrence County in Marion Township. It has a total area of 3.28 square miles at 38°44′2″N 86°28′28″W. The elevation is 682 feet above sea level. As of the 2010 census data, it had a total population of 4,350. The population density was 1,295.48/sq mi. Estimated per capita income in 2016 was $21,551. It has Zip code 47446.