As of the 2000 United States Census, there were 4,385 people, 1,752 households, and 1,270 families living in the county. The population density was 4 people per square mile (1/km2). There were 2,002 housing units at an average density of 2 per square mile (1/km2). The racial makeup of the county was 97.04% White, 0.27% Black or African American, 1.16% Native American, 0.11% Asian, 0.07% Pacific Islander, 0.34% from other races, and 1.00% from two or more races. 1.32% of the population were Hispanic or Latino of any race. 25.5% were of German, 14.5% English, 12.9% Irish, 9.9% Norwegian and 6.3% French ancestry. 98.0% spoke English and 1.3% German as their first language.