As of the census of 2000, there were 4,452 people, 1,940 households, and 1,208 families residing in the county. The population density was 5 people per square mile (2/km2). There were 2,419 housing units at an average density of 3 per square mile (1/km2). The racial makeup of the county was 98.61% White, 0.07% Black or African American, 0.22% Native American, 0.20% Asian, 0.02% Pacific Islander, 0.07% from other races, and 0.81% from two or more races. 0.38% of the population were Hispanic or Latino of any race.