12957 has 8 divisors (see below), whose sum is σ = 19776. Its totient is φ = 7392.

The previous prime is 12953. The next prime is 12959. The reversal of 12957 is 75921.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12957 - 2² = 12953 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

12957 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288 + ... + 329.

It is an arithmetic number, because the mean of its divisors is an integer number (2472).

2¹²⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

12957 is a deficient number, since it is larger than the sum of its proper divisors (6819).

12957 is an equidigital number, since it uses as much as digits as its factorization.

12957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627.

The product of its digits is 630, while the sum is 24.

The square root of 12957 is about 113.8288188465. The cubic root of 12957 is about 23.4873932684.

It can be divided in two parts, 12 and 957, that added together give a palindrome (969).

The spelling of 12957 in words is "twelve thousand, nine hundred fifty-seven".