33675 has 12 divisors (see below), whose sum is σ = 55800. Its totient is φ = 17920.

The previous prime is 33647. The next prime is 33679. The reversal of 33675 is 57633.

It is not a de Polignac number, because 33675 - 2⁷ = 33547 is a prime.

It is a super-2 number, since 2×33675² = 2268011250, which contains 22 as substring.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (33679) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 150 + ... + 299.

It is an arithmetic number, because the mean of its divisors is an integer number (4650).

2³³⁶⁷⁵ is an apocalyptic number.

33675 is the 150-th pentagonal number.

33675 is a deficient number, since it is larger than the sum of its proper divisors (22125).

33675 is a wasteful number, since it uses less digits than its factorization.

33675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 457 counting only the distinct ones).

The product of its digits is 1890, while the sum is 24.

The square root of 33675 is about 183.5074930350. The cubic root of 33675 is about 32.2925644334.

It can be divided in two parts, 336 and 75, that multiplied together give a triangular number (25200 = T₂₂₄).

The spelling of 33675 in words is "thirty-three thousand, six hundred seventy-five".