257265 has 12 divisors (see below), whose sum is σ = 446004. Its totient is φ = 137184.

The previous prime is 257263. The next prime is 257273. The reversal of 257265 is 562752.

It can be written as a sum of positive squares in 2 ways, for example, as 121104 + 136161 = 348^2 + 369^2 .

It is not a de Polignac number, because 257265 - 2¹ = 257263 is a prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257265.

It is not an unprimeable number, because it can be changed into a prime (257263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2814 + ... + 2903.

It is an arithmetic number, because the mean of its divisors is an integer number (37167).

2²⁵⁷²⁶⁵ is an apocalyptic number.

It is an amenable number.

257265 is a deficient number, since it is larger than the sum of its proper divisors (188739).

257265 is a wasteful number, since it uses less digits than its factorization.

257265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5728 (or 5725 counting only the distinct ones).

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

The square root of 257265 is about 507.2129730202. The cubic root of 257265 is about 63.6004568616.

The spelling of 257265 in words is "two hundred fifty-seven thousand, two hundred sixty-five".