13005993 has 64 divisors (see below), whose sum is σ = 23998464. Its totient is φ = 6048000.

The previous prime is 13005931. The next prime is 13005997. The reversal of 13005993 is 39950031.

13005993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13005993 - 2⁶ = 13005929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13005993.

It is not an unprimeable number, because it can be changed into a prime (13005997) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 183148 + ... + 183218.

It is an arithmetic number, because the mean of its divisors is an integer number (374976).

Almost surely, 2^13005993 is an apocalyptic number.

13005993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13005993 is a deficient number, since it is larger than the sum of its proper divisors (10992471).

13005993 is a wasteful number, since it uses less digits than its factorization.

13005993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166.

The product of its (nonzero) digits is 3645, while the sum is 30.

The square root of 13005993 is about 3606.3822592731. The cubic root of 13005993 is about 235.1695953976.

The spelling of 13005993 in words is "thirteen million, five thousand, nine hundred ninety-three".