12579257 has 2 divisors, whose sum is σ = 12579258. Its totient is φ = 12579256.

The previous prime is 12579239. The next prime is 12579271. The reversal of 12579257 is 75297521.

12579257 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12559936 + 19321 = 3544^2 + 139^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12579257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12579257.

It is not a weakly prime, because it can be changed into another prime (12579227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6289628 + 6289629.

It is an arithmetic number, because the mean of its divisors is an integer number (6289629).

Almost surely, 2^12579257 is an apocalyptic number.

It is an amenable number.

12579257 is a deficient number, since it is larger than the sum of its proper divisors (1).

12579257 is an equidigital number, since it uses as much as digits as its factorization.

12579257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 44100, while the sum is 38.

The square root of 12579257 is about 3546.7248272174. The cubic root of 12579257 is about 232.5689131675.

The spelling of 12579257 in words is "twelve million, five hundred seventy-nine thousand, two hundred fifty-seven".