257225 has 6 divisors (see below), whose sum is σ = 318990. Its totient is φ = 205760.

The previous prime is 257221. The next prime is 257239. The reversal of 257225 is 522752.

It can be written as a sum of positive squares in 3 ways, for example, as 53824 + 203401 = 232^2 + 451^2 .

It is not a de Polignac number, because 257225 - 2² = 257221 is a prime.

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 257225.

It is not an unprimeable number, because it can be changed into a prime (257221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5120 + ... + 5169.

It is an arithmetic number, because the mean of its divisors is an integer number (53165).

2²⁵⁷²²⁵ is an apocalyptic number.

257225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257225 is a deficient number, since it is larger than the sum of its proper divisors (61765).

257225 is a wasteful number, since it uses less digits than its factorization.

257225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10299 (or 10294 counting only the distinct ones).

The product of its digits is 1400, while the sum is 23.

The square root of 257225 is about 507.1735403193. The cubic root of 257225 is about 63.5971604550.

Adding to 257225 its reverse (522752), we get a palindrome (779977).

It can be divided in two parts, 25 and 7225, that multiplied together give a square (180625 = 425²).

The spelling of 257225 in words is "two hundred fifty-seven thousand, two hundred twenty-five".