13688235 has 24 divisors (see below), whose sum is σ = 25884144. Its totient is φ = 6636480.

The previous prime is 13688221. The next prime is 13688239. The reversal of 13688235 is 53288631.

It is not a de Polignac number, because 13688235 - 2¹⁰ = 13687211 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13688235.

It is not an unprimeable number, because it can be changed into a prime (13688239) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13332 + ... + 14321.

It is an arithmetic number, because the mean of its divisors is an integer number (1078506).

Almost surely, 2^13688235 is an apocalyptic number.

13688235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13688235 is a deficient number, since it is larger than the sum of its proper divisors (12195909).

13688235 is a wasteful number, since it uses less digits than its factorization.

13688235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27675 (or 27672 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 13688235 is about 3699.7614787983. The cubic root of 13688235 is about 239.2117367555.

The spelling of 13688235 in words is "thirteen million, six hundred eighty-eight thousand, two hundred thirty-five".