33925 has 12 divisors (see below), whose sum is σ = 44640. Its totient is φ = 25520.

The previous prime is 33923. The next prime is 33931. The reversal of 33925 is 52933.

33925 is nontrivially palindromic in base 12.

It is not a de Polignac number, because 33925 - 2¹ = 33923 is a prime.

33925 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 33896 and 33905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 546 + ... + 604.

It is an arithmetic number, because the mean of its divisors is an integer number (3720).

2³³⁹²⁵ is an apocalyptic number.

It is an amenable number.

33925 is a deficient number, since it is larger than the sum of its proper divisors (10715).

33925 is a wasteful number, since it uses less digits than its factorization.

33925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 87 counting only the distinct ones).

The product of its digits is 810, while the sum is 22.

The square root of 33925 is about 184.1874045639. The cubic root of 33925 is about 32.3722798011.

The spelling of 33925 in words is "thirty-three thousand, nine hundred twenty-five".