13877 has 2 divisors, whose sum is σ = 13878. Its totient is φ = 13876.

The previous prime is 13873. The next prime is 13879. The reversal of 13877 is 77831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8836 + 5041 = 94^2 + 71^2 .

It is a cyclic number.

It is not a de Polignac number, because 13877 - 2² = 13873 is a prime.

It is a super-2 number, since 2×13877² = 385142258, which contains 22 as substring.

Together with 13879, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13873) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6938 + 6939.

It is an arithmetic number, because the mean of its divisors is an integer number (6939).

2¹³⁸⁷⁷ is an apocalyptic number.

It is an amenable number.

13877 is a deficient number, since it is larger than the sum of its proper divisors (1).

13877 is an equidigital number, since it uses as much as digits as its factorization.

13877 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1176, while the sum is 26.

The square root of 13877 is about 117.8006791152. The cubic root of 13877 is about 24.0306321826.

The spelling of 13877 in words is "thirteen thousand, eight hundred seventy-seven".