12777 has 4 divisors (see below), whose sum is σ = 17040. Its totient is φ = 8516.

The previous prime is 12763. The next prime is 12781. The reversal of 12777 is 77721.

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 a cyclic number.

It is not a de Polignac number, because 12777 - 2⁶ = 12713 is a prime.

It is a D-number.

12777 is a lucky number.

It is a plaindrome in base 10 and base 15.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (12757) 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, 2127 + ... + 2132.

It is an arithmetic number, because the mean of its divisors is an integer number (4260).

2¹²⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

12777 is a deficient number, since it is larger than the sum of its proper divisors (4263).

12777 is an equidigital number, since it uses as much as digits as its factorization.

12777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4262.

The product of its digits is 686, while the sum is 24.

The square root of 12777 is about 113.0353926874. The cubic root of 12777 is about 23.3781225870.

It can be divided in two parts, 127 and 77, that multiplied together give a palindrome (9779).

The spelling of 12777 in words is "twelve thousand, seven hundred seventy-seven", and thus it is an iban number.