257907 has 16 divisors (see below), whose sum is σ = 393120. Its totient is φ = 148992.

The previous prime is 257903. The next prime is 257921. The reversal of 257907 is 709752.

It is a happy number.

It is not a de Polignac number, because 257907 - 2² = 257903 is a prime.

257907 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257903) 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, 469 + ... + 857.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2²⁵⁷⁹⁰⁷ is an apocalyptic number.

257907 is a deficient number, since it is larger than the sum of its proper divisors (135213).

257907 is a wasteful number, since it uses less digits than its factorization.

257907 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422.

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 257907 is about 507.8454489311. The cubic root of 257907 is about 63.6533174989.

The spelling of 257907 in words is "two hundred fifty-seven thousand, nine hundred seven".