13157993 has 2 divisors, whose sum is σ = 13157994. Its totient is φ = 13157992.

The previous prime is 13157987. The next prime is 13158023. The reversal of 13157993 is 39975131.

13157993 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12306064 + 851929 = 3508^2 + 923^2 .

It is a cyclic number.

It is not a de Polignac number, because 13157993 - 2⁸ = 13157737 is a prime.

It is not a weakly prime, because it can be changed into another prime (13157923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6578996 + 6578997.

It is an arithmetic number, because the mean of its divisors is an integer number (6578997).

Almost surely, 2^13157993 is an apocalyptic number.

It is an amenable number.

13157993 is a deficient number, since it is larger than the sum of its proper divisors (1).

13157993 is an equidigital number, since it uses as much as digits as its factorization.

13157993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 25515, while the sum is 38.

The square root of 13157993 is about 3627.3947951664. The cubic root of 13157993 is about 236.0821855387.

The spelling of 13157993 in words is "thirteen million, one hundred fifty-seven thousand, nine hundred ninety-three".