904257 has 16 divisors (see below), whose sum is σ = 1356480. Its totient is φ = 595296.

The previous prime is 904219. The next prime is 904261. The reversal of 904257 is 752409.

It is not a de Polignac number, because 904257 - 2⁶ = 904193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 904257.

It is not an unprimeable number, because it can be changed into a prime (904207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2733 + ... + 3045.

It is an arithmetic number, because the mean of its divisors is an integer number (84780).

2⁹⁰⁴²⁵⁷ is an apocalyptic number.

It is an amenable number.

904257 is a deficient number, since it is larger than the sum of its proper divisors (452223).

904257 is a wasteful number, since it uses less digits than its factorization.

904257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 904257 is about 950.9242872069. The cubic root of 904257 is about 96.7009245734.

The spelling of 904257 in words is "nine hundred four thousand, two hundred fifty-seven".