33120025 has 9 divisors (see below), whose sum is σ = 41104543. Its totient is φ = 26473000.

The previous prime is 33120013. The next prime is 33120047. The reversal of 33120025 is 52002133.

The square root of 33120025 is 5755.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11923209 + 21196816 = 3453^2 + 4604^2 .

It is not a de Polignac number, because 33120025 - 2⁵ = 33119993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33119990 and 33120008.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28200 + ... + 29350.

Almost surely, 2^33120025 is an apocalyptic number.

33120025 is the 5755-th square number.

33120025 is the 2878-th centered octagonal number.

It is an amenable number.

33120025 is a deficient number, since it is larger than the sum of its proper divisors (7984518).

33120025 is an frugal number, since it uses more digits than its factorization.

33120025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The cubic root of 33120025 is about 321.1418355288.

Multiplying 33120025 by its sum of digits (16), we get a square (529920400 = 23020²).

Adding to 33120025 its reverse (52002133), we get a palindrome (85122158).

The spelling of 33120025 in words is "thirty-three million, one hundred twenty thousand, twenty-five".