12813376 has 28 divisors (see below), whose sum is σ = 26924508. Its totient is φ = 6029312.

The previous prime is 12813373. The next prime is 12813377. The reversal of 12813376 is 67331821.

It can be written as a sum of positive squares in 2 ways, for example, as 9486400 + 3326976 = 3080^2 + 1824^2 .

It is a super-3 number, since 3×12813376³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12813373) 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 in 3 ways as a sum of consecutive naturals, for example, 4801 + ... + 6976.

Almost surely, 2^12813376 is an apocalyptic number.

12813376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12813376 is an abundant number, since it is smaller than the sum of its proper divisors (14111132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12813376 is a wasteful number, since it uses less digits than its factorization.

12813376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11806 (or 11796 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 12813376 is about 3579.5776287154. The cubic root of 12813376 is about 234.0028733180.

The spelling of 12813376 in words is "twelve million, eight hundred thirteen thousand, three hundred seventy-six".