12345957 has 18 divisors (see below), whose sum is σ = 19312722. Its totient is φ = 7596576.

The previous prime is 12345943. The next prime is 12345959. The reversal of 12345957 is 75954321.

12345957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 690561 + 11655396 = 831^2 + 3414^2 .

It is not a de Polignac number, because 12345957 - 2⁸ = 12345701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12345959) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2538 + ... + 5579.

It is an arithmetic number, because the mean of its divisors is an integer number (1072929).

Almost surely, 2^12345957 is an apocalyptic number.

It is an amenable number.

12345957 is a deficient number, since it is larger than the sum of its proper divisors (6966765).

12345957 is a wasteful number, since it uses less digits than its factorization.

12345957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8149 (or 8133 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 12345957 is about 3513.6814027456. The cubic root of 12345957 is about 231.1221594834.

The spelling of 12345957 in words is "twelve million, three hundred forty-five thousand, nine hundred fifty-seven".