As of the 2000 United States Census, there were 4,522 people, 1,903 households, and 1,267 families in the county. The population density was 3.48/sqmi (1.35/km2). There were 3,238 housing units at an average density of 2.49/sqmi (0.96/km2). The racial makeup of the county was 97.21% White/Caucasian, 0.29% Black/African American, 1.13% Native American, 0.24% Asian, 0.11% from other races, and 1.02% from two or more races. 0.64% of the population were Hispanic or Latino of any race. 26.2% were of Norwegian, 22.3% German, 8.9% Swedish, 5.8% American and 5.0% English ancestry.