12586657 has 2 divisors, whose sum is σ = 12586658. Its totient is φ = 12586656.

The previous prime is 12586633. The next prime is 12586661. The reversal of 12586657 is 75668521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6431296 + 6155361 = 2536^2 + 2481^2 .

It is an emirp because it is prime and its reverse (75668521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12586657 - 2¹¹ = 12584609 is a prime.

It is not a weakly prime, because it can be changed into another prime (12586627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6293328 + 6293329.

It is an arithmetic number, because the mean of its divisors is an integer number (6293329).

Almost surely, 2^12586657 is an apocalyptic number.

It is an amenable number.

12586657 is a deficient number, since it is larger than the sum of its proper divisors (1).

12586657 is an equidigital number, since it uses as much as digits as its factorization.

12586657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 100800, while the sum is 40.

The square root of 12586657 is about 3547.7678898147. The cubic root of 12586657 is about 232.6145086690.

The spelling of 12586657 in words is "twelve million, five hundred eighty-six thousand, six hundred fifty-seven".