12952 has 8 divisors (see below), whose sum is σ = 24300. Its totient is φ = 6472.

The previous prime is 12941. The next prime is 12953. The reversal of 12952 is 25921.

12952 is nontrivially palindromic in base 9.

It is a tau number, because it is divible by the number of its divisors (8).

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12953) by changing a digit.

12952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 802 + ... + 817.

2¹²⁹⁵² is an apocalyptic number.

It is an amenable number.

12952 is a deficient number, since it is larger than the sum of its proper divisors (11348).

12952 is a wasteful number, since it uses less digits than its factorization.

12952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1621 counting only the distinct ones).

The product of its digits is 180, while the sum is 19.

The square root of 12952 is about 113.8068539237. The cubic root of 12952 is about 23.4843716823.

It can be divided in two parts, 129 and 52, that added together give a palindrome (181).

The spelling of 12952 in words is "twelve thousand, nine hundred fifty-two".