As of the 2000 United States Census, there were 4,366 people, 1,786 households and 1,243 families in the county. The population density was 5.08/sqmi (1.96/km2). There were 2,016 housing units at an average density of 2.35/sqmi (0.91/km2). The racial makeup of the county was 98.24% White, 0.05% Black or African American, 0.46% Native American, 0.05% Asian, 0.55% from other races, and 0.66% from two or more races. 0.73% of the population were Hispanic or Latino of any race. 37.5% were of German and 35.4% Norwegian ancestry.