33120825 has 24 divisors (see below), whose sum is σ = 56100576. Its totient is φ = 17232000.

The previous prime is 33120823. The next prime is 33120863. The reversal of 33120825 is 52802133.

It is not a de Polignac number, because 33120825 - 2¹ = 33120823 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 33120795 and 33120804.

It is not an unprimeable number, because it can be changed into a prime (33120823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2311 + ... + 8460.

It is an arithmetic number, because the mean of its divisors is an integer number (2337524).

Almost surely, 2^33120825 is an apocalyptic number.

It is an amenable number.

33120825 is a deficient number, since it is larger than the sum of its proper divisors (22979751).

33120825 is a wasteful number, since it uses less digits than its factorization.

33120825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10825 (or 10820 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 33120825 is about 5755.0695043587. The cubic root of 33120825 is about 321.1444211891.

Adding to 33120825 its reverse (52802133), we get a palindrome (85922958).

The spelling of 33120825 in words is "thirty-three million, one hundred twenty thousand, eight hundred twenty-five".