12966 has 8 divisors (see below), whose sum is σ = 25944. Its totient is φ = 4320.

The previous prime is 12959. The next prime is 12967. The reversal of 12966 is 66921.

12966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

12966 is an admirable number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1075 + ... + 1086.

It is an arithmetic number, because the mean of its divisors is an integer number (3243).

2¹²⁹⁶⁶ is an apocalyptic number.

12966 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972).

12966 is a wasteful number, since it uses less digits than its factorization.

12966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166.

The product of its digits is 648, while the sum is 24.

The square root of 12966 is about 113.8683450306. The cubic root of 12966 is about 23.4928301652.

It can be divided in two parts, 1296 and 6, that multiplied together give a 5-th power (7776 = 6⁵).

The spelling of 12966 in words is "twelve thousand, nine hundred sixty-six".