31713 has 12 divisors (see below), whose sum is σ = 47664. Its totient is φ = 18600.

The previous prime is 31699. The next prime is 31721.

31713 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31713 - 2⁶ = 31649 is a prime.

31713 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 31692 and 31701.

It is not an unprimeable number, because it can be changed into a prime (31723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1008 + ... + 1038.

It is an arithmetic number, because the mean of its divisors is an integer number (3972).

2³¹⁷¹³ is an apocalyptic number.

31713 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31713 is a deficient number, since it is larger than the sum of its proper divisors (15951).

31713 is a wasteful number, since it uses less digits than its factorization.

31713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 45 counting only the distinct ones).

The product of its digits is 63, while the sum is 15.

The square root of 31713 is about 178.0814420427. The cubic root of 31713 is about 31.6528225111.

The spelling of 31713 in words is "thirty-one thousand, seven hundred thirteen".