As of the 2000 United States Census, there were 6,430 people, 2,550 households, and 1,721 families in the county. The population density was 4 people per square mile (2/km2). There were 3,036 housing units at an average density of 2 per square mile (1/km2). The racial makeup of the county was 87.48% White, 0.03% Black or African American, 11.20% Native American, 0.06% Asian, 0.08% from other races, and 1.15% from two or more races. 0.86% of the population were Hispanic or Latino of any race.