33766 has 4 divisors (see below), whose sum is σ = 50652. Its totient is φ = 16882.

The previous prime is 33757. The next prime is 33767. The reversal of 33766 is 66733.

It is a happy number.

33766 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a super-2 number, since 2×33766² = 2280285512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33766.

It is a congruent number.

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

33766 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 as a sum of consecutive naturals, namely, 8440 + ... + 8443.

It is an arithmetic number, because the mean of its divisors is an integer number (12663).

2³³⁷⁶⁶ is an apocalyptic number.

33766 is a deficient number, since it is larger than the sum of its proper divisors (16886).

33766 is a wasteful number, since it uses less digits than its factorization.

33766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16885.

The product of its digits is 2268, while the sum is 25.

The square root of 33766 is about 183.7552720332. The cubic root of 33766 is about 32.3216263518.

The spelling of 33766 in words is "thirty-three thousand, seven hundred sixty-six".