As of the 2000 United States Census, there were 4,299 people, 1,727 households, and 1,131 families in the county. The population density was 9.95/mi2 (3.84/km2). There were 1,883 housing units at an average density of 4.36/mi2 (1.68/km2). The racial makeup of the county was 97.44% White, 0.19% Black or African American, 1.84% Native American, 0.07% Asian, 0.12% from other races, and 0.35% from two or more races. 0.30% of the population were Hispanic or Latino of any race. 31.9% were of Norwegian, 25.0% German, 16.7% French and 6.3% French Canadian ancestry.