13876 has 6 divisors (see below), whose sum is σ = 24290. Its totient is φ = 6936.

The previous prime is 13873. The next prime is 13877. The reversal of 13876 is 67831.

13876 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8100 + 5776 = 90^2 + 76^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13876.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13873) 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 as a sum of consecutive naturals, namely, 1731 + ... + 1738.

2¹³⁸⁷⁶ is an apocalyptic number.

13876 is the 75-th centered pentagonal number.

It is an amenable number.

13876 is a deficient number, since it is larger than the sum of its proper divisors (10414).

13876 is a wasteful number, since it uses less digits than its factorization.

13876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3473 (or 3471 counting only the distinct ones).

The product of its digits is 1008, while the sum is 25.

The square root of 13876 is about 117.7964345810. The cubic root of 13876 is about 24.0300549394.

Adding to 13876 its product of digits (1008), we get a square (14884 = 122²).

The spelling of 13876 in words is "thirteen thousand, eight hundred seventy-six".