13777 has 4 divisors (see below), whose sum is σ = 14400. Its totient is φ = 13156.

The previous prime is 13763. The next prime is 13781. The reversal of 13777 is 77731.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 13777 - 2⁷ = 13649 is a prime.

It is a Duffinian number.

It is a plaindrome in base 10.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (13757) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 277 + ... + 322.

It is an arithmetic number, because the mean of its divisors is an integer number (3600).

2¹³⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

13777 is a deficient number, since it is larger than the sum of its proper divisors (623).

13777 is an equidigital number, since it uses as much as digits as its factorization.

13777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622.

The product of its digits is 1029, while the sum is 25.

The square root of 13777 is about 117.3754659203. The cubic root of 13777 is about 23.9727700430.

It can be divided in two parts, 13 and 777, that multiplied together give a palindrome (10101).

The spelling of 13777 in words is "thirteen thousand, seven hundred seventy-seven".