13377 has 16 divisors (see below), whose sum is σ = 22400. Its totient is φ = 7056.

The previous prime is 13367. The next prime is 13381. The reversal of 13377 is 77331.

13377 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 13377 - 2⁶ = 13313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (13327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1023 + ... + 1035.

It is an arithmetic number, because the mean of its divisors is an integer number (1400).

2¹³³⁷⁷ is an apocalyptic number.

It is an amenable number.

13377 is a deficient number, since it is larger than the sum of its proper divisors (9023).

13377 is an equidigital number, since it uses as much as digits as its factorization.

13377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 23 counting only the distinct ones).

The product of its digits is 441, while the sum is 21.

The square root of 13377 is about 115.6589814930. The cubic root of 13377 is about 23.7384801011.

It can be divided in two parts, 133 and 77, that added together give a triangular number (210 = T₂₀).

The spelling of 13377 in words is "thirteen thousand, three hundred seventy-seven".