257925 has 24 divisors (see below), whose sum is σ = 451360. Its totient is φ = 129600.

The previous prime is 257921. The next prime is 257947. The reversal of 257925 is 529752.

It is a happy number.

It is not a de Polignac number, because 257925 - 2² = 257921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257892 and 257901.

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 257925.

It is not an unprimeable number, because it can be changed into a prime (257921) 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, 1335 + ... + 1515.

2²⁵⁷⁹²⁵ is an apocalyptic number.

257925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257925 is a deficient number, since it is larger than the sum of its proper divisors (193435).

257925 is a wasteful number, since it uses less digits than its factorization.

257925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 208 counting only the distinct ones).

The product of its digits is 6300, while the sum is 30.

The square root of 257925 is about 507.8631705489. The cubic root of 257925 is about 63.6547983079.

The spelling of 257925 in words is "two hundred fifty-seven thousand, nine hundred twenty-five".