13835913 has 32 divisors (see below), whose sum is σ = 23116800. Its totient is φ = 7166016.

The previous prime is 13835911. The next prime is 13835917. The reversal of 13835913 is 31953831.

13835913 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13835913 - 2¹ = 13835911 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13835911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15678 + ... + 16536.

It is an arithmetic number, because the mean of its divisors is an integer number (722400).

Almost surely, 2^13835913 is an apocalyptic number.

13835913 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13835913 is a deficient number, since it is larger than the sum of its proper divisors (9280887).

13835913 is a wasteful number, since it uses less digits than its factorization.

13835913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941.

The product of its digits is 9720, while the sum is 33.

The square root of 13835913 is about 3719.6657107864. The cubic root of 13835913 is about 240.0689211781.

The spelling of 13835913 in words is "thirteen million, eight hundred thirty-five thousand, nine hundred thirteen".