13977 has 6 divisors (see below), whose sum is σ = 20202. Its totient is φ = 9312.

The previous prime is 13967. The next prime is 13997. The reversal of 13977 is 77931.

It can be written as a sum of positive squares in only one way, i.e., 9216 + 4761 = 96^2 + 69^2 .

It is not a de Polignac number, because 13977 - 2⁶ = 13913 is a prime.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13977.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13977.

It is not an unprimeable number, because it can be changed into a prime (13907) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 768 + ... + 785.

It is an arithmetic number, because the mean of its divisors is an integer number (3367).

2¹³⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

13977 is a deficient number, since it is larger than the sum of its proper divisors (6225).

13977 is a wasteful number, since it uses less digits than its factorization.

13977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1556 counting only the distinct ones).

The product of its digits is 1323, while the sum is 27.

The square root of 13977 is about 118.2243629714. The cubic root of 13977 is about 24.0882170093.

It can be divided in two parts, 1397 and 7, that multiplied together give a palindrome (9779).

The spelling of 13977 in words is "thirteen thousand, nine hundred seventy-seven".