12764 has 6 divisors (see below), whose sum is σ = 22344. Its totient is φ = 6380.

The previous prime is 12763. The next prime is 12781. The reversal of 12764 is 46721.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1592 + ... + 1599.

It is an arithmetic number, because the mean of its divisors is an integer number (3724).

2¹²⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

12764 is a deficient number, since it is larger than the sum of its proper divisors (9580).

12764 is a wasteful number, since it uses less digits than its factorization.

12764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3195 (or 3193 counting only the distinct ones).

The product of its digits is 336, while the sum is 20.

The square root of 12764 is about 112.9778739400. The cubic root of 12764 is about 23.3701911810.

It can be divided in two parts, 127 and 64, that multiplied together give a triangular number (8128 = T₁₂₇).

The spelling of 12764 in words is "twelve thousand, seven hundred sixty-four".