33645 has 8 divisors (see below), whose sum is σ = 53856. Its totient is φ = 17936.

The previous prime is 33641. The next prime is 33647. The reversal of 33645 is 54633.

33645 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 33645 - 2² = 33641 is a prime.

It is a super-3 number, since 3×33645³ = 114257009433375, which contains 333 as substring. Note that it is a super-d number also for d = 2.

33645 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1107 + ... + 1136.

It is an arithmetic number, because the mean of its divisors is an integer number (6732).

2³³⁶⁴⁵ is an apocalyptic number.

It is an amenable number.

33645 is a deficient number, since it is larger than the sum of its proper divisors (20211).

33645 is a wasteful number, since it uses less digits than its factorization.

33645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251.

The product of its digits is 1080, while the sum is 21.

The square root of 33645 is about 183.4257342905. The cubic root of 33645 is about 32.2829721071.

The spelling of 33645 in words is "thirty-three thousand, six hundred forty-five".