257008 has 10 divisors (see below), whose sum is σ = 497984. Its totient is φ = 128496.

The previous prime is 257003. The next prime is 257017. The reversal of 257008 is 800752.

It is a super-2 number, since 2×257008² = 132106224128, which contains 22 as substring.

It is a zygodrome in base 3 and base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 257008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8016 + ... + 8047.

2²⁵⁷⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

257008 is a deficient number, since it is larger than the sum of its proper divisors (240976).

257008 is a wasteful number, since it uses less digits than its factorization.

257008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16071 (or 16065 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 257008 is about 506.9595644625. The cubic root of 257008 is about 63.5792714907.

The spelling of 257008 in words is "two hundred fifty-seven thousand, eight".