257852 has 12 divisors (see below), whose sum is σ = 515760. Its totient is φ = 110496.

The previous prime is 257837. The next prime is 257857. The reversal of 257852 is 258752.

257852 is an admirable number.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4577 + ... + 4632.

It is an arithmetic number, because the mean of its divisors is an integer number (42980).

2²⁵⁷⁸⁵² is an apocalyptic number.

It is an amenable number.

257852 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257852 is a wasteful number, since it uses less digits than its factorization.

257852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9220 (or 9218 counting only the distinct ones).

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

The square root of 257852 is about 507.7912957111. The cubic root of 257852 is about 63.6487923776.

Subtracting from 257852 its product of digits (5600), we obtain a palindrome (252252).

Subtracting 257852 from its reverse (258752), we obtain a square (900 = 30²).

The spelling of 257852 in words is "two hundred fifty-seven thousand, eight hundred fifty-two".