83008 has 14 divisors (see below), whose sum is σ = 164846. Its totient is φ = 41472.

The previous prime is 83003. The next prime is 83009. The reversal of 83008 is 80038.

It can be written as a sum of positive squares in only one way, i.e., 82944 + 64 = 288^2 + 8^2 .

It is not an unprimeable number, because it can be changed into a prime (83003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 585 + ... + 712.

2⁸³⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

83008 is a deficient number, since it is larger than the sum of its proper divisors (81838).

83008 is a wasteful number, since it uses less digits than its factorization.

83008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 83008 is about 288.1110896859. Note that the first 3 decimals coincide. The cubic root of 83008 is about 43.6221081380.

The spelling of 83008 in words is "eighty-three thousand, eight".