Vieremä is a municipality of Finland. It is located in the province of Eastern Finland and is part of the Northern Savonia region. The municipality has a population of 3,735 (31 March 2016) and covers an area of 973.38 square kilometres (375.82 sq mi) of which 48.2 km (18.6 sq mi) is water. The population density is 4.04 inhabitants per square kilometre (10.5/sq mi). Neighbouring municipalities are Iisalmi, Kajaani, Kiuruvesi, Pyhäntä, and Sonkajärvi. The municipality is unilingually Finnish.