For statistical purposes, the United States Census Bureau has defined Beaver as a census-designated place (CDP).

[6] The American beaver was important to the early economy of the Oregon Country, and numerous places were named for the industrious rodent.

[6] According to the United States Census Bureau, the CDP has a total area of 0.4 square miles (1.0 km2), all of it land.

The racial makeup of the CDP was 93.10% White, 1.38% Native American, and 5.52% from two or more races.

23.3% of all households were made up of individuals, and 16.7% had someone living alone who was 65 years of age or older.