Vivian is an unincorporated community and census-designated place (CDP) in Lyman County, South Dakota, United States.

[4] The community is named after Vivian Hunter, the wife of an official of the Milwaukee railroad.

[5] Norman Rudolph Prahl (1919-1996), Minnesota state legislator, was born in Vivian.

According to the United States Census Bureau, the Vivian CDP has a total area of 1.7 square miles (4.5 km2), all land.

[7] The community drains to Medicine Creek, an intermittent stream that flows east to the Missouri River.