13905 has 16 divisors (see below), whose sum is σ = 24960. Its totient is φ = 7344.

The previous prime is 13903. The next prime is 13907. The reversal of 13905 is 50931.

13905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13903) and next prime (13907).

It is not a de Polignac number, because 13905 - 2¹ = 13903 is a prime.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 5.

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 15 ways as a sum of consecutive naturals, for example, 84 + ... + 186.

It is an arithmetic number, because the mean of its divisors is an integer number (1560).

2¹³⁹⁰⁵ is an apocalyptic number.

13905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13905 is a deficient number, since it is larger than the sum of its proper divisors (11055).

13905 is a wasteful number, since it uses less digits than its factorization.

13905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 13905 is about 117.9194640422. The cubic root of 13905 is about 24.0467837441.

The spelling of 13905 in words is "thirteen thousand, nine hundred five".