[4] Inverness Township is located in northern Cheboygan County and is bordered by the city of Cheboygan, the county seat, on the northeast.

[8] As of the census[1] of 2000, there were 2,278 people, 914 households, and 659 families residing in the township.

There were 1,226 housing units at an average density of 36.1 per square mile (13.9/km2).

There were 914 households, out of which 32.7% had children under the age of 18 living with them, 60.0% were married couples living together, 8.4% had a female householder with no husband present, and 27.8% were non-families.

23.2% of all households were made up of individuals, and 9.3% had someone living alone who was 65 years of age or older.