289904 has 10 divisors (see below), whose sum is σ = 561720. Its totient is φ = 144944.

The previous prime is 289897. The next prime is 289937. The reversal of 289904 is 409982.

289904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 289904.

It is an unprimeable number.

289904 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9044 + ... + 9075.

It is an arithmetic number, because the mean of its divisors is an integer number (56172).

2²⁸⁹⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

289904 is a deficient number, since it is larger than the sum of its proper divisors (271816).

289904 is a wasteful number, since it uses less digits than its factorization.

289904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18127 (or 18121 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 289904 is about 538.4273395733. The cubic root of 289904 is about 66.1837548331.

The spelling of 289904 in words is "two hundred eighty-nine thousand, nine hundred four".