257625 has 24 divisors (see below), whose sum is σ = 466440. Its totient is φ = 136800.

The previous prime is 257611. The next prime is 257627. The reversal of 257625 is 526752.

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 257049 = 24^2 + 507^2 .

It is not a de Polignac number, because 257625 - 2⁶ = 257561 is a prime.

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 257625.

It is not an unprimeable number, because it can be changed into a prime (257627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1011 + ... + 1239.

It is an arithmetic number, because the mean of its divisors is an integer number (19435).

2²⁵⁷⁶²⁵ is an apocalyptic number.

257625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257625 is a deficient number, since it is larger than the sum of its proper divisors (208815).

257625 is a wasteful number, since it uses less digits than its factorization.

257625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 237 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 257625 is about 507.5677294707. The cubic root of 257625 is about 63.6301091565.

It can be divided in two parts, 2576 and 25, that added together give a square (2601 = 51²).

The spelling of 257625 in words is "two hundred fifty-seven thousand, six hundred twenty-five".