12585137 has 2 divisors, whose sum is σ = 12585138. Its totient is φ = 12585136.

The previous prime is 12585121. The next prime is 12585161. The reversal of 12585137 is 73158521.

12585137 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., 9759376 + 2825761 = 3124^2 + 1681^2 .

It is a cyclic number.

It is not a de Polignac number, because 12585137 - 2⁴ = 12585121 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12585037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6292568 + 6292569.

It is an arithmetic number, because the mean of its divisors is an integer number (6292569).

Almost surely, 2^12585137 is an apocalyptic number.

It is an amenable number.

12585137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12585137 is an equidigital number, since it uses as much as digits as its factorization.

12585137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8400, while the sum is 32.

The square root of 12585137 is about 3547.5536641466. The cubic root of 12585137 is about 232.6051445652.

The spelling of 12585137 in words is "twelve million, five hundred eighty-five thousand, one hundred thirty-seven".