13785913 has 2 divisors, whose sum is σ = 13785914. Its totient is φ = 13785912.

The previous prime is 13785907. The next prime is 13785949. The reversal of 13785913 is 31958731.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10517049 + 3268864 = 3243^2 + 1808^2 .

It is a cyclic number.

It is not a de Polignac number, because 13785913 - 2¹⁷ = 13654841 is a prime.

It is not a weakly prime, because it can be changed into another prime (13785953) 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 as a sum of consecutive naturals, namely, 6892956 + 6892957.

It is an arithmetic number, because the mean of its divisors is an integer number (6892957).

Almost surely, 2^13785913 is an apocalyptic number.

It is an amenable number.

13785913 is a deficient number, since it is larger than the sum of its proper divisors (1).

13785913 is an equidigital number, since it uses as much as digits as its factorization.

13785913 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22680, while the sum is 37.

The square root of 13785913 is about 3712.9385936210. The cubic root of 13785913 is about 239.7793863893.

The spelling of 13785913 in words is "thirteen million, seven hundred eighty-five thousand, nine hundred thirteen".