13005792 has 48 divisors (see below), whose sum is σ = 37936080. Its totient is φ = 4334976.

The previous prime is 13005767. The next prime is 13005859. The reversal of 13005792 is 29750031.

13005792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6663 + ... + 8390.

It is an arithmetic number, because the mean of its divisors is an integer number (790335).

Almost surely, 2^13005792 is an apocalyptic number.

13005792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13005792 is an abundant number, since it is smaller than the sum of its proper divisors (24930288).

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

13005792 is a wasteful number, since it uses less digits than its factorization.

13005792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15072 (or 15058 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 13005792 is about 3606.3543919033. The cubic root of 13005792 is about 235.1683839219.

The spelling of 13005792 in words is "thirteen million, five thousand, seven hundred ninety-two".