12713328 has 40 divisors (see below), whose sum is σ = 36493200. Its totient is φ = 4237632.

The previous prime is 12713279. The next prime is 12713329. The reversal of 12713328 is 82331721.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12713329) 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 7 ways as a sum of consecutive naturals, for example, 14283 + ... + 15146.

It is an arithmetic number, because the mean of its divisors is an integer number (912330).

Almost surely, 2^12713328 is an apocalyptic number.

12713328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12713328 is an abundant number, since it is smaller than the sum of its proper divisors (23779872).

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

12713328 is a wasteful number, since it uses less digits than its factorization.

12713328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29446 (or 29434 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 12713328 is about 3565.5754093835. The cubic root of 12713328 is about 233.3922427223.

It can be divided in two parts, 12713 and 328, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 12713328 in words is "twelve million, seven hundred thirteen thousand, three hundred twenty-eight".