76257 has 12 divisors (see below), whose sum is σ = 113620. Its totient is φ = 49248.

The previous prime is 76253. The next prime is 76259. The reversal of 76257 is 75267.

76257 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 2 ways, for example, as 69696 + 6561 = 264^2 + 81^2 .

It is not a de Polignac number, because 76257 - 2² = 76253 is a prime.

It is a super-3 number, since 3×76257³ = 1330333116439779, which contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 76257.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 76257.

It is not an unprimeable number, because it can be changed into a prime (76253) 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, 219 + ... + 447.

2⁷⁶²⁵⁷ is an apocalyptic number.

It is an amenable number.

76257 is a deficient number, since it is larger than the sum of its proper divisors (37363).

76257 is a wasteful number, since it uses less digits than its factorization.

76257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 269 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 76257 is about 276.1467001432. The cubic root of 76257 is about 42.4059280308.

Adding to 76257 its product of digits (2940), we get a palindrome (79197).

Subtracting from 76257 its reverse (75267), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 762 and 57, that multiplied together give a palindrome (43434).

The spelling of 76257 in words is "seventy-six thousand, two hundred fifty-seven".