11972 has 12 divisors (see below), whose sum is σ = 21756. Its totient is φ = 5760.

The previous prime is 11971. The next prime is 11981. The reversal of 11972 is 27911.

11972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3136 + 8836 = 56^2 + 94^2 .

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 11972.

It is not an unprimeable number, because it can be changed into a prime (11971) 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, 128 + ... + 200.

It is an arithmetic number, because the mean of its divisors is an integer number (1813).

2¹¹⁹⁷² is an apocalyptic number.

It is an amenable number.

11972 is a deficient number, since it is larger than the sum of its proper divisors (9784).

11972 is a wasteful number, since it uses less digits than its factorization.

11972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 116 counting only the distinct ones).

The product of its digits is 126, while the sum is 20.

The square root of 11972 is about 109.4166349327. The cubic root of 11972 is about 22.8764643175.

It can be divided in two parts, 119 and 72, that added together give a palindrome (191).

The spelling of 11972 in words is "eleven thousand, nine hundred seventy-two".