257031 has 6 divisors (see below), whose sum is σ = 371280. Its totient is φ = 171348.

The previous prime is 257017. The next prime is 257053. The reversal of 257031 is 130752.

It is not a de Polignac number, because 257031 - 2⁶ = 256967 is a prime.

It is a super-2 number, since 2×257031² = 132129869922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 256995 and 257013.

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 257031.

It is not an unprimeable number, because it can be changed into a prime (257731) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14271 + ... + 14288.

It is an arithmetic number, because the mean of its divisors is an integer number (61880).

2²⁵⁷⁰³¹ is an apocalyptic number.

257031 is a deficient number, since it is larger than the sum of its proper divisors (114249).

257031 is a wasteful number, since it uses less digits than its factorization.

257031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28565 (or 28562 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 257031 is about 506.9822482099. The cubic root of 257031 is about 63.5811680330.

Adding to 257031 its sum of digits (18), we get a square (257049 = 507²).

Adding to 257031 its reverse (130752), we get a palindrome (387783).

It can be divided in two parts, 2570 and 31, that added together give a square (2601 = 51²).

The spelling of 257031 in words is "two hundred fifty-seven thousand, thirty-one".