13761 has 12 divisors (see below), whose sum is σ = 21840. Its totient is φ = 8280.

The previous prime is 13759. The next prime is 13763. The reversal of 13761 is 16731.

13761 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 (13759) and next prime (13763).

It is not a de Polignac number, because 13761 - 2¹ = 13759 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (13763) 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 11 ways as a sum of consecutive naturals, for example, 30 + ... + 168.

It is an arithmetic number, because the mean of its divisors is an integer number (1820).

2¹³⁷⁶¹ is an apocalyptic number.

13761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13761 is a deficient number, since it is larger than the sum of its proper divisors (8079).

13761 is a wasteful number, since it uses less digits than its factorization.

13761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 153 counting only the distinct ones).

The product of its digits is 126, while the sum is 18.

The square root of 13761 is about 117.3072887761. The cubic root of 13761 is about 23.9634861423.

The spelling of 13761 in words is "thirteen thousand, seven hundred sixty-one".