33764 has 12 divisors (see below), whose sum is σ = 61824. Its totient is φ = 16104.

The previous prime is 33757. The next prime is 33767. The reversal of 33764 is 46733.

It is a super-2 number, since 2×33764² = 2280015392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (33767) by changing a digit.

33764 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, 92 + ... + 275.

It is an arithmetic number, because the mean of its divisors is an integer number (5152).

2³³⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

33764 is a deficient number, since it is larger than the sum of its proper divisors (28060).

33764 is a wasteful number, since it uses less digits than its factorization.

33764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 392 counting only the distinct ones).

The product of its digits is 1512, while the sum is 23.

The square root of 33764 is about 183.7498299319. The cubic root of 33764 is about 32.3209881899.

It can be divided in two parts, 33 and 764, that added together give a palindrome (797).

The spelling of 33764 in words is "thirty-three thousand, seven hundred sixty-four".