31913 has 8 divisors (see below), whose sum is σ = 37632. Its totient is φ = 26496.

The previous prime is 31907. The next prime is 31957.

31913 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 31913 - 2⁶ = 31849 is a prime.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 31891 and 31900.

It is not an unprimeable number, because it can be changed into a prime (31963) 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, 281 + ... + 377.

It is an arithmetic number, because the mean of its divisors is an integer number (4704).

2³¹⁹¹³ is an apocalyptic number.

It is an amenable number.

31913 is a deficient number, since it is larger than the sum of its proper divisors (5719).

31913 is an equidigital number, since it uses as much as digits as its factorization.

31913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151.

The product of its digits is 81, while the sum is 17.

The square root of 31913 is about 178.6421003011. The cubic root of 31913 is about 31.7192232815.

The spelling of 31913 in words is "thirty-one thousand, nine hundred thirteen".