33825 has 24 divisors (see below), whose sum is σ = 62496. Its totient is φ = 16000.

The previous prime is 33811. The next prime is 33827. The reversal of 33825 is 52833.

33825 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 33825 - 2⁴ = 33809 is a prime.

It is a super-2 number, since 2×33825² = 2288261250, which contains 22 as substring.

Its product of digits (720) is a multiple of the sum of its prime divisors (60).

It is a Curzon number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (33827) by changing a digit.

It is a nontrivial repunit in base 32.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 805 + ... + 845.

It is an arithmetic number, because the mean of its divisors is an integer number (2604).

2³³⁸²⁵ is an apocalyptic number.

It is an amenable number.

33825 is a deficient number, since it is larger than the sum of its proper divisors (28671).

33825 is a wasteful number, since it uses less digits than its factorization.

33825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 60 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 33825 is about 183.9157415775. The cubic root of 33825 is about 32.3404408036.

It can be divided in two parts, 338 and 25, that added together give a palindrome (363).

The spelling of 33825 in words is "thirty-three thousand, eight hundred twenty-five".