257725 has 18 divisors (see below), whose sum is σ = 351726. Its totient is φ = 187200.

The previous prime is 257717. The next prime is 257731. The reversal of 257725 is 527752.

It can be written as a sum of positive squares in 9 ways, for example, as 228484 + 29241 = 478^2 + 171^2 .

It is not a de Polignac number, because 257725 - 2³ = 257717 is a prime.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 257693 and 257702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4195 + ... + 4255.

2²⁵⁷⁷²⁵ is an apocalyptic number.

257725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257725 is a deficient number, since it is larger than the sum of its proper divisors (94001).

257725 is a wasteful number, since it uses less digits than its factorization.

257725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 79 counting only the distinct ones).

The product of its digits is 4900, while the sum is 28.

The square root of 257725 is about 507.6662289339. Note that the first 3 decimals coincide. The cubic root of 257725 is about 63.6383410023.

It can be divided in two parts, 25 and 7725, that added together give a triangular number (7750 = T₁₂₄).

The spelling of 257725 in words is "two hundred fifty-seven thousand, seven hundred twenty-five".