31613 has 4 divisors (see below), whose sum is σ = 32028. Its totient is φ = 31200.

The previous prime is 31607. The next prime is 31627.

31613 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 13924 + 17689 = 118^2 + 133^2 .

It is a cyclic number.

It is not a de Polignac number, because 31613 - 2⁸ = 31357 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56 + ... + 257.

It is an arithmetic number, because the mean of its divisors is an integer number (8007).

2³¹⁶¹³ is an apocalyptic number.

It is an amenable number.

31613 is a deficient number, since it is larger than the sum of its proper divisors (415).

31613 is a wasteful number, since it uses less digits than its factorization.

31613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414.

The product of its digits is 54, while the sum is 14.

The square root of 31613 is about 177.8004499432. The cubic root of 31613 is about 31.6195173986.

The spelling of 31613 in words is "thirty-one thousand, six hundred thirteen".