12972465 has 48 divisors (see below), whose sum is σ = 24935040. Its totient is φ = 6186240.

The previous prime is 12972461. The next prime is 12972521. The reversal of 12972465 is 56427921.

12972465 is a `hidden beast` number, since 129 + 72 + 465 = 666.

It is not a de Polignac number, because 12972465 - 2² = 12972461 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12972461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35956 + ... + 36314.

It is an arithmetic number, because the mean of its divisors is an integer number (519480).

Almost surely, 2^12972465 is an apocalyptic number.

12972465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12972465 is a deficient number, since it is larger than the sum of its proper divisors (11962575).

12972465 is a wasteful number, since it uses less digits than its factorization.

12972465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 451 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 12972465 is about 3601.7308339186. The cubic root of 12972465 is about 234.9673411684.

The spelling of 12972465 in words is "twelve million, nine hundred seventy-two thousand, four hundred sixty-five".