12868 has 6 divisors (see below), whose sum is σ = 22526. Its totient is φ = 6432.

The previous prime is 12853. The next prime is 12889. The reversal of 12868 is 86821.

It can be written as a sum of positive squares in only one way, i.e., 12544 + 324 = 112^2 + 18^2 .

It is a nialpdrome in base 12.

It is an unprimeable number.

12868 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1605 + ... + 1612.

2¹²⁸⁶⁸ is an apocalyptic number.

It is an amenable number.

12868 is a deficient number, since it is larger than the sum of its proper divisors (9658).

12868 is a wasteful number, since it uses less digits than its factorization.

12868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3221 (or 3219 counting only the distinct ones).

The product of its digits is 768, while the sum is 25.

The square root of 12868 is about 113.4372072999. The cubic root of 12868 is about 23.4334923518.

Subtracting from 12868 its product of digits (768), we obtain a square (12100 = 110²).

It can be divided in two parts, 128 and 68, that added together give a square (196 = 14²).

The spelling of 12868 in words is "twelve thousand, eight hundred sixty-eight".