As of the 2000 United States Census there were 5,364 people, 1,998 households, and 1,328 families in the county. The population density was 6 people per square mile (3/km2). There were 2,272 housing units at an average density of 3 per square mile (1/km2). The racial makeup of the county was 89.91% White, 0.26% Black or African American, 8.28% Native American, 0.48% Asian, 0.02% Pacific Islander, 0.06% from other races, and 0.99% from two or more races. 0.48% of the population were Hispanic or Latino of any race. 39.6% were of German, 9.5% Czech, 8.6% Norwegian, 7.8% Irish and 6.6% United States or American ancestry.