257906 has 16 divisors (see below), whose sum is σ = 444960. Its totient is φ = 110880.

The previous prime is 257903. The next prime is 257921. The reversal of 257906 is 609752.

257906 = 54² + 55² + ... + 97².

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (257903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110 + ... + 726.

It is an arithmetic number, because the mean of its divisors is an integer number (27810).

2²⁵⁷⁹⁰⁶ is an apocalyptic number.

257906 is a deficient number, since it is larger than the sum of its proper divisors (187054).

257906 is a wasteful number, since it uses less digits than its factorization.

257906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649.

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 257906 is about 507.8444643786. The cubic root of 257906 is about 63.6532352297.

The spelling of 257906 in words is "two hundred fifty-seven thousand, nine hundred six".