12975 has 12 divisors (see below), whose sum is σ = 21576. Its totient is φ = 6880.

The previous prime is 12973. The next prime is 12979. The reversal of 12975 is 57921.

It is not a de Polignac number, because 12975 - 2¹ = 12973 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12973) 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, 12 + ... + 161.

It is an arithmetic number, because the mean of its divisors is an integer number (1798).

2¹²⁹⁷⁵ is an apocalyptic number.

12975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12975 is a deficient number, since it is larger than the sum of its proper divisors (8601).

12975 is a wasteful number, since it uses less digits than its factorization.

12975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 181 counting only the distinct ones).

The product of its digits is 630, while the sum is 24.

The square root of 12975 is about 113.9078574989. The cubic root of 12975 is about 23.4982645467.

The spelling of 12975 in words is "twelve thousand, nine hundred seventy-five".