12972131 has 2 divisors, whose sum is σ = 12972132. Its totient is φ = 12972130.

The previous prime is 12972107. The next prime is 12972149. The reversal of 12972131 is 13127921.

12972131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 12972131 - 2⁶ = 12972067 is a prime.

It is a super-2 number, since 2×12972131² = 336552365362322, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12972131.

It is not a weakly prime, because it can be changed into another prime (12972331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6486065 + 6486066.

It is an arithmetic number, because the mean of its divisors is an integer number (6486066).

Almost surely, 2^12972131 is an apocalyptic number.

12972131 is a deficient number, since it is larger than the sum of its proper divisors (1).

12972131 is an equidigital number, since it uses as much as digits as its factorization.

12972131 is an evil number, because the sum of its binary digits is even.

The product of its digits is 756, while the sum is 26.

The square root of 12972131 is about 3601.6844670237. The cubic root of 12972131 is about 234.9653245955.

The spelling of 12972131 in words is "twelve million, nine hundred seventy-two thousand, one hundred thirty-one".