13688257 has 12 divisors (see below), whose sum is σ = 15254064. Its totient is φ = 12181520.

The previous prime is 13688249. The next prime is 13688273. The reversal of 13688257 is 75288631.

13688257 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 13688257 - 2³ = 13688249 is a prime.

It is a Duffinian number.

Its product of digits (80640) is a multiple of the sum of its prime factors (560).

It is not an unprimeable number, because it can be changed into a prime (13688057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30678 + ... + 31120.

It is an arithmetic number, because the mean of its divisors is an integer number (1271172).

Almost surely, 2^13688257 is an apocalyptic number.

It is an amenable number.

13688257 is a deficient number, since it is larger than the sum of its proper divisors (1565807).

13688257 is an equidigital number, since it uses as much as digits as its factorization.

13688257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 507 counting only the distinct ones).

The product of its digits is 80640, while the sum is 40.

The square root of 13688257 is about 3699.7644519618. The cubic root of 13688257 is about 239.2118649107.

The spelling of 13688257 in words is "thirteen million, six hundred eighty-eight thousand, two hundred fifty-seven".