257825 has 6 divisors (see below), whose sum is σ = 319734. Its totient is φ = 206240.

The previous prime is 257797. The next prime is 257837. The reversal of 257825 is 528752.

It can be written as a sum of positive squares in 3 ways, for example, as 10816 + 247009 = 104^2 + 497^2 .

It is not a de Polignac number, because 257825 - 2¹⁰ = 256801 is a prime.

It is a Duffinian number.

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 257825.

It is an unprimeable number.

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, 5132 + ... + 5181.

It is an arithmetic number, because the mean of its divisors is an integer number (53289).

2²⁵⁷⁸²⁵ is an apocalyptic number.

257825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257825 is a deficient number, since it is larger than the sum of its proper divisors (61909).

257825 is a wasteful number, since it uses less digits than its factorization.

257825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10323 (or 10318 counting only the distinct ones).

The product of its digits is 5600, while the sum is 29.

The square root of 257825 is about 507.7647092896. The cubic root of 257825 is about 63.6465707189.

It can be divided in two parts, 25 and 7825, that multiplied together give a triangular number (195625 = T₆₂₅).

The spelling of 257825 in words is "two hundred fifty-seven thousand, eight hundred twenty-five".