As of the census of 2000, there were 1,749 people, 674 households, and 477 families residing in the county. The population density was 2 people per square mile (1/km2). There were 791 housing units at an average density of 1 per square mile (0/km2). The racial makeup of the county was 94.63% White, 0.63% Black or African American, 0.80% Native American, 0.17% Asian, 2.52% from other races, and 1.26% from two or more races. 4.80% of the population were Hispanic or Latino of any race.