As of the 2000 United States Census, there were 4,181 people, 1,271 households, and 949 families in the county. The population density was 1.7 people per square mile (0.7/km2). There were 1,536 housing units at an average density of 0.6 per square mile (0.2/km2). The racial makeup of the county was 60.80% Native American, 37.19% White, 0.10% Black or African American, 0.05% Asian, 0.22% from other races, and 1.65% from two or more races. 2.13% of the population were Hispanic or Latino of any race. 27.3% were of German ancestry.