12675 has 18 divisors (see below), whose sum is σ = 22692. Its totient is φ = 6240.

The previous prime is 12671. The next prime is 12689. The reversal of 12675 is 57621.

12675 = 25² + 26² + ... + 37².

12675 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 12675 - 2² = 12671 is a prime.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

Its product of digits (420) is a multiple of the sum of its prime divisors (21).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (12671) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 969 + ... + 981.

12675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12675 is a deficient number, since it is larger than the sum of its proper divisors (10017).

12675 is a wasteful number, since it uses less digits than its factorization.

12675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 21 counting only the distinct ones).

The product of its digits is 420, while the sum is 21.

The square root of 12675 is about 112.5833024920. The cubic root of 12675 is about 23.3157463848.

It can be divided in two parts, 12 and 675, that multiplied together give a square (8100 = 90²).

The spelling of 12675 in words is "twelve thousand, six hundred seventy-five".