31955 has 16 divisors (see below), whose sum is σ = 48384. Its totient is φ = 19680.

The previous prime is 31907. The next prime is 31957. The reversal of 31955 is 55913.

31955 is nontrivially palindromic in base 13.

It is not a de Polignac number, because 31955 - 2⁶ = 31891 is a prime.

It is a super-2 number, since 2×31955² = 2042244050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31955.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 31955.

It is not an unprimeable number, because it can be changed into a prime (31957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344 + ... + 426.

It is an arithmetic number, because the mean of its divisors is an integer number (3024).

2³¹⁹⁵⁵ is an apocalyptic number.

31955 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

31955 is a deficient number, since it is larger than the sum of its proper divisors (16429).

31955 is a wasteful number, since it uses less digits than its factorization.

31955 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106.

The product of its digits is 675, while the sum is 23.

The square root of 31955 is about 178.7596151260. The cubic root of 31955 is about 31.7331321732.

The spelling of 31955 in words is "thirty-one thousand, nine hundred fifty-five".