13012992 has 78 divisors (see below), whose sum is σ = 37694982. Its totient is φ = 4325376.

The previous prime is 13012969. The next prime is 13012999. The reversal of 13012992 is 29921031.

It can be written as a sum of positive squares in only one way, i.e., 10653696 + 2359296 = 3264^2 + 1536^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13012999) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36688 + ... + 37040.

It is an arithmetic number, because the mean of its divisors is an integer number (483269).

Almost surely, 2^13012992 is an apocalyptic number.

13012992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13012992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18847491).

13012992 is an abundant number, since it is smaller than the sum of its proper divisors (24681990).

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

13012992 is an equidigital number, since it uses as much as digits as its factorization.

13012992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 13012992 is about 3607.3524917867. The cubic root of 13012992 is about 235.2117722832.

The spelling of 13012992 in words is "thirteen million, twelve thousand, nine hundred ninety-two".