33875 has 8 divisors (see below), whose sum is σ = 42432. Its totient is φ = 27000.

The previous prime is 33871. The next prime is 33889. The reversal of 33875 is 57833.

It is not a de Polignac number, because 33875 - 2² = 33871 is a prime.

It is a super-2 number, since 2×33875² = 2295031250, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (33871) 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, 11 + ... + 260.

It is an arithmetic number, because the mean of its divisors is an integer number (5304).

2³³⁸⁷⁵ is an apocalyptic number.

33875 is a deficient number, since it is larger than the sum of its proper divisors (8557).

33875 is an equidigital number, since it uses as much as digits as its factorization.

33875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 276 counting only the distinct ones).

The product of its digits is 2520, while the sum is 26.

The square root of 33875 is about 184.0516231931. The cubic root of 33875 is about 32.3563681348.

The spelling of 33875 in words is "thirty-three thousand, eight hundred seventy-five".