[6] According to the United States Census Bureau, the city has an area of 2.34 square miles (6.06 km2), all land.

There were 1,142 housing units at an average density of 488.0 per square mile (188.4/km2).

31.9% of all households were made up of individuals, and 13.1% had someone living alone who was 65 years of age or older.

35.1% of all households were made up of individuals, and 18.1% had someone living alone who was 65 years of age or older.

Olivia's school system is partnered with Bird Island and Lake Lillian, and operates under the name BOLD Schools (Bird Island, Olivia, Lake Lillian District).

The Minnesota Senate has designated Olivia the "Corn Capital of the World".

It is in the middle of Renville County, Minnesota's leading producer of corn.

Olivia celebrates Corn Capital Days during the last weekend of July.

Activities include a parade, corncob toss, corn-lympics, free corn feed, kiddie parade, Lion's walk-in, fly-in, drive-in breakfast, and live music.