257972 has 36 divisors (see below), whose sum is σ = 547428. Its totient is φ = 105600.

The previous prime is 257953. The next prime is 257981. The reversal of 257972 is 279752.

It can be written as a sum of positive squares in 2 ways, for example, as 23716 + 234256 = 154^2 + 484^2 .

It is a d-powerful number, because it can be written as 2⁶ + 5⁶ + 9⁵ + 7² + 7⁶ + 2¹⁶ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257972.

It is an unprimeable number.

257972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 6272 + ... + 6312.

2²⁵⁷⁹⁷² is an apocalyptic number.

257972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

257972 is an abundant number, since it is smaller than the sum of its proper divisors (289456).

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

257972 is a wasteful number, since it uses less digits than its factorization.

257972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 67 counting only the distinct ones).

The product of its digits is 8820, while the sum is 32.

The square root of 257972 is about 507.9094407471. The cubic root of 257972 is about 63.6586645401.

It can be divided in two parts, 25 and 7972, that added together give a palindrome (7997).

The spelling of 257972 in words is "two hundred fifty-seven thousand, nine hundred seventy-two".