12957361 has 2 divisors, whose sum is σ = 12957362. Its totient is φ = 12957360.

The previous prime is 12957337. The next prime is 12957389. The reversal of 12957361 is 16375921.

12957361 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7667361 + 5290000 = 2769^2 + 2300^2 .

It is a cyclic number.

It is not a de Polignac number, because 12957361 - 2¹³ = 12949169 is a prime.

It is not a weakly prime, because it can be changed into another prime (12957311) 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 as a sum of consecutive naturals, namely, 6478680 + 6478681.

It is an arithmetic number, because the mean of its divisors is an integer number (6478681).

Almost surely, 2^12957361 is an apocalyptic number.

It is an amenable number.

12957361 is a deficient number, since it is larger than the sum of its proper divisors (1).

12957361 is an equidigital number, since it uses as much as digits as its factorization.

12957361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11340, while the sum is 34.

The square root of 12957361 is about 3599.6334535616. The cubic root of 12957361 is about 234.8761139685.

The spelling of 12957361 in words is "twelve million, nine hundred fifty-seven thousand, three hundred sixty-one".