11931 has 8 divisors (see below), whose sum is σ = 16464. Its totient is φ = 7680.

The previous prime is 11927. The next prime is 11933. The reversal of 11931 is 13911.

11931 is digitally balanced in base 3, 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.

It is not a de Polignac number, because 11931 - 2² = 11927 is a prime.

It is a super-2 number, since 2×11931² = 284697522, which contains 22 as substring.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 11931.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 11931.

It is not an unprimeable number, because it can be changed into a prime (11933) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75 + ... + 171.

It is an arithmetic number, because the mean of its divisors is an integer number (2058).

2¹¹⁹³¹ is an apocalyptic number.

11931 is a deficient number, since it is larger than the sum of its proper divisors (4533).

11931 is an equidigital number, since it uses as much as digits as its factorization.

11931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141.

The product of its digits is 27, while the sum is 15.

The square root of 11931 is about 109.2291169973. The cubic root of 11931 is about 22.8503197640.

The spelling of 11931 in words is "eleven thousand, nine hundred thirty-one".