33975 has 18 divisors (see below), whose sum is σ = 61256. Its totient is φ = 18000.

The previous prime is 33967. The next prime is 33997. The reversal of 33975 is 57933.

33975 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 not a de Polignac number, because 33975 - 2³ = 33967 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 150 + ... + 300.

2³³⁹⁷⁵ is an apocalyptic number.

33975 is a deficient number, since it is larger than the sum of its proper divisors (27281).

33975 is a wasteful number, since it uses less digits than its factorization.

33975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 159 counting only the distinct ones).

The product of its digits is 2835, while the sum is 27.

The square root of 33975 is about 184.3230859117. The cubic root of 33975 is about 32.3881758408.

It can be divided in two parts, 339 and 75, that multiplied together give a triangular number (25425 = T₂₂₅).

The spelling of 33975 in words is "thirty-three thousand, nine hundred seventy-five".