13685713 has 16 divisors (see below), whose sum is σ = 14826240. Its totient is φ = 12602304.

The previous prime is 13685689. The next prime is 13685717. The reversal of 13685713 is 31758631.

13685713 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13685713 - 2⁹ = 13685201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13685717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125503 + ... + 125611.

It is an arithmetic number, because the mean of its divisors is an integer number (926640).

Almost surely, 2^13685713 is an apocalyptic number.

It is an amenable number.

13685713 is a deficient number, since it is larger than the sum of its proper divisors (1140527).

13685713 is a wasteful number, since it uses less digits than its factorization.

13685713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288.

The product of its digits is 15120, while the sum is 34.

The square root of 13685713 is about 3699.4206303150. The cubic root of 13685713 is about 239.1970445995.

It can be divided in two parts, 136 and 85713, that added together give a square (85849 = 293²).

The spelling of 13685713 in words is "thirteen million, six hundred eighty-five thousand, seven hundred thirteen".