13908 has 24 divisors (see below), whose sum is σ = 34720. Its totient is φ = 4320.

The previous prime is 13907. The next prime is 13913. The reversal of 13908 is 80931.

13908 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

13908 is an undulating number in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198 + ... + 258.

2¹³⁹⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17360).

13908 is an abundant number, since it is smaller than the sum of its proper divisors (20812).

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

13908 is a wasteful number, since it uses less digits than its factorization.

13908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 13908 is about 117.9321839024. The cubic root of 13908 is about 24.0485129821.

The spelling of 13908 in words is "thirteen thousand, nine hundred eight".