83764 has 12 divisors (see below), whose sum is σ = 150304. Its totient is φ = 40824.

The previous prime is 83761. The next prime is 83773. The reversal of 83764 is 46738.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83761) 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, 72 + ... + 415.

2⁸³⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

83764 is a deficient number, since it is larger than the sum of its proper divisors (66540).

83764 is a wasteful number, since it uses less digits than its factorization.

83764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 532 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 83764 is about 289.4201098749. The cubic root of 83764 is about 43.7541383840.

The spelling of 83764 in words is "eighty-three thousand, seven hundred sixty-four".