As of the 2000 United States Census, there were 6,670 people, 2,616 households, and 1,899 families in the county. The population density was 3.5 people per square mile (1/km2). There were 4,349 housing units at an average density of 2 per square mile (1/km2). The racial makeup of the county was 95.23% White, 0.12% Black or African American, 0.93% Native American, 0.30% Asian, 0.10% Pacific Islander, 1.30% from other races, and 2.01% from two or more races. 3.42% of the population were Hispanic or Latino of any race. 18.4% were of German, 14.8% American, 13.8% English and 9.8% Irish ancestry.