208904 has 8 divisors (see below), whose sum is σ = 391710. Its totient is φ = 104448.

The previous prime is 208891. The next prime is 208907. The reversal of 208904 is 409802.

208904 = 41² + 42² + ... + 88².

It can be written as a sum of positive squares in only one way, i.e., 168100 + 40804 = 410^2 + 202^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a self number, because there is not a number n which added to its sum of digits gives 208904.

It is not an unprimeable number, because it can be changed into a prime (208907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13049 + ... + 13064.

2²⁰⁸⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

208904 is a deficient number, since it is larger than the sum of its proper divisors (182806).

208904 is a wasteful number, since it uses less digits than its factorization.

208904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26119 (or 26115 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 208904 is about 457.0601710935. The cubic root of 208904 is about 59.3356337393.

The spelling of 208904 in words is "two hundred eight thousand, nine hundred four".