12879 has 12 divisors (see below), whose sum is σ = 19656. Its totient is φ = 8424.

The previous prime is 12853. The next prime is 12889. The reversal of 12879 is 97821.

It is not a de Polignac number, because 12879 - 2¹¹ = 10831 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1008) is a multiple of the sum of its prime divisors (56).

It is a plaindrome in base 14.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217 + ... + 269.

It is an arithmetic number, because the mean of its divisors is an integer number (1638).

2¹²⁸⁷⁹ is an apocalyptic number.

12879 is a deficient number, since it is larger than the sum of its proper divisors (6777).

12879 is an frugal number, since it uses more digits than its factorization.

12879 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 56 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 12879 is about 113.4856819163. The cubic root of 12879 is about 23.4401676963.

It can be divided in two parts, 1287 and 9, that added together give a 4-th power (1296 = 6⁴).

The spelling of 12879 in words is "twelve thousand, eight hundred seventy-nine".