13688325 has 48 divisors (see below), whose sum is σ = 28748160. Its totient is φ = 6255360.

The previous prime is 13688317. The next prime is 13688333. The reversal of 13688325 is 52388631.

It is an interprime number because it is at equal distance from previous prime (13688317) and next prime (13688333).

It is not a de Polignac number, because 13688325 - 2³ = 13688317 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13688325.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3277 + ... + 6173.

It is an arithmetic number, because the mean of its divisors is an integer number (598920).

Almost surely, 2^13688325 is an apocalyptic number.

13688325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13688325 is an abundant number, since it is smaller than the sum of its proper divisors (15059835).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13688325 is a wasteful number, since it uses less digits than its factorization.

13688325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923 (or 2912 counting only the distinct ones).

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

The square root of 13688325 is about 3699.7736417246. The cubic root of 13688325 is about 239.2122610259.

The spelling of 13688325 in words is "thirteen million, six hundred eighty-eight thousand, three hundred twenty-five".