31716 has 18 divisors (see below), whose sum is σ = 80262. Its totient is φ = 10560.

The previous prime is 31699. The next prime is 31721. The reversal of 31716 is 61713.

It can be written as a sum of positive squares in only one way, i.e., 22500 + 9216 = 150^2 + 96^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13.

It is an unprimeable number.

31716 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 405 + ... + 476.

It is an arithmetic number, because the mean of its divisors is an integer number (4459).

2³¹⁷¹⁶ is an apocalyptic number.

31716 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31716 is an abundant number, since it is smaller than the sum of its proper divisors (48546).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31716 is a wasteful number, since it uses less digits than its factorization.

31716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 886 counting only the distinct ones).

The product of its digits is 126, while the sum is 18.

The square root of 31716 is about 178.0898649559. The cubic root of 31716 is about 31.6538205820.

It can be divided in two parts, 317 and 16, that added together give a palindrome (333).

The spelling of 31716 in words is "thirty-one thousand, seven hundred sixteen".