31764 has 12 divisors (see below), whose sum is σ = 74144. Its totient is φ = 10584.

The previous prime is 31751. The next prime is 31769. The reversal of 31764 is 46713.

It is a tau number, because it is divible by the number of its divisors (12).

It is a self number, because there is not a number n which added to its sum of digits gives 31764.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 31764.

It is not an unprimeable number, because it can be changed into a prime (31769) by changing a digit.

31764 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1312 + ... + 1335.

2³¹⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

31764 is an abundant number, since it is smaller than the sum of its proper divisors (42380).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37072).

31764 is a wasteful number, since it uses less digits than its factorization.

31764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654 (or 2652 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 31764 is about 178.2245774297. The cubic root of 31764 is about 31.6697811649.

The spelling of 31764 in words is "thirty-one thousand, seven hundred sixty-four".