12971585 has 16 divisors (see below), whose sum is σ = 17876160. Its totient is φ = 8936640.

The previous prime is 12971573. The next prime is 12971597. The reversal of 12971585 is 58517921.

12971585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12971573) and next prime (12971597).

It is not a de Polignac number, because 12971585 - 2⁶ = 12971521 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5162 + ... + 7251.

It is an arithmetic number, because the mean of its divisors is an integer number (1117260).

Almost surely, 2^12971585 is an apocalyptic number.

It is an amenable number.

12971585 is a deficient number, since it is larger than the sum of its proper divisors (4904575).

12971585 is a wasteful number, since it uses less digits than its factorization.

12971585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12448.

The product of its digits is 25200, while the sum is 38.

The square root of 12971585 is about 3601.6086683592. The cubic root of 12971585 is about 234.9620279676.

It can be divided in two parts, 1297 and 1585, that added together give a palindrome (2882).

The spelling of 12971585 in words is "twelve million, nine hundred seventy-one thousand, five hundred eighty-five".