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Odon is a town in Madison Township, Daviess County, Indiana, United States. The population was 1,354 at the 2010 census.
Odon was originally called Clarksburg, and under the latter name was laid out in 1846. In 1880 the name was changed to Odon. Odon was incorporated in 1885.
Odon is located at 38°50′29″N 86°59′28″W (38.841462, -86.991148).
According to the 2010 census, Odon has a total area of 0.96 square miles (2.49 km2), of which 0.95 square miles (2.46 km2) (or 98.96%) is land and 0.01 square miles (0.03 km2) (or 1.04%) is water.
As of the census of 2010, there were 1,354 people, 603 households, and 347 families living in the town. The population density was 1,425.3 inhabitants per square mile (550.3/km2). There were 686 housing units at an average density of 722.1 per square mile (278.8/km2). The racial makeup of the town was 98.3% White, 0.6% Native American, 0.3% Asian, and 0.8% from two or more races. Hispanic or Latino of any race were 0.3% of the population.
There were 603 households, of which 27.7% had children under the age of 18 living with them, 41.3% were married couples living together, 13.3% had a female householder with no husband present, 3.0% had a male householder with no wife present, and 42.5% were non-families.