12771 has 16 divisors (see below), whose sum is σ = 21120. Its totient is φ = 7560.

The previous prime is 12763. The next prime is 12781. The reversal of 12771 is 17721.

12771 is nontrivially palindromic in base 2.

12771 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12771 - 2³ = 12763 is a prime.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 11.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276 + ... + 318.

It is an arithmetic number, because the mean of its divisors is an integer number (1320).

2¹²⁷⁷¹ is an apocalyptic number.

12771 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12771 is a deficient number, since it is larger than the sum of its proper divisors (8349).

12771 is a wasteful number, since it uses less digits than its factorization.

12771 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 57 counting only the distinct ones).

The product of its digits is 98, while the sum is 18.

The square root of 12771 is about 113.0088492110. The cubic root of 12771 is about 23.3744626069.

Subtracting 12771 from its reverse (17721), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 1 and 2771, that added together give a palindrome (2772).

The spelling of 12771 in words is "twelve thousand, seven hundred seventy-one", and thus it is an iban number.