13915 has 12 divisors (see below), whose sum is σ = 19152. Its totient is φ = 9680.

The previous prime is 13913. The next prime is 13921. The reversal of 13915 is 51931.

13915 = T₂₄ + T₂₅ + ... + T₄₅.

13915 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 13915 - 2¹ = 13913 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 13892 and 13901.

It is not an unprimeable number, because it can be changed into a prime (13913) 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, 594 + ... + 616.

It is an arithmetic number, because the mean of its divisors is an integer number (1596).

2¹³⁹¹⁵ is an apocalyptic number.

13915 is a deficient number, since it is larger than the sum of its proper divisors (5237).

13915 is a wasteful number, since it uses less digits than its factorization.

13915 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 39 counting only the distinct ones).

The product of its digits is 135, while the sum is 19.

The square root of 13915 is about 117.9618582424. The cubic root of 13915 is about 24.0525469040.

It can be divided in two parts, 1 and 3915, that added together give a triangular number (3916 = T₈₈).

The spelling of 13915 in words is "thirteen thousand, nine hundred fifteen".