33945 has 16 divisors (see below), whose sum is σ = 56832. Its totient is φ = 17280.

The previous prime is 33941. The next prime is 33961. The reversal of 33945 is 54933.

33945 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 33945 - 2² = 33941 is a prime.

33945 is strictly pandigital in base 6.

It is a Curzon number.

It is a plaindrome in base 11 and base 12.

It is not an unprimeable number, because it can be changed into a prime (33941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429 + ... + 501.

It is an arithmetic number, because the mean of its divisors is an integer number (3552).

2³³⁹⁴⁵ is an apocalyptic number.

It is an amenable number.

33945 is a deficient number, since it is larger than the sum of its proper divisors (22887).

33945 is a wasteful number, since it uses less digits than its factorization.

33945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112.

The product of its digits is 1620, while the sum is 24.

The square root of 33945 is about 184.2416890934. The cubic root of 33945 is about 32.3786400900.

The spelling of 33945 in words is "thirty-three thousand, nine hundred forty-five".