33005125 has 16 divisors (see below), whose sum is σ = 41766192. Its totient is φ = 26035200.

The previous prime is 33005059. The next prime is 33005171. The reversal of 33005125 is 52150033.

It can be written as a sum of positive squares in 8 ways, for example, as 21178404 + 11826721 = 4602^2 + 3439^2 .

It is not a de Polignac number, because 33005125 - 2⁹ = 33004613 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7317 + ... + 10933.

It is an arithmetic number, because the mean of its divisors is an integer number (2610387).

Almost surely, 2^33005125 is an apocalyptic number.

It is an amenable number.

33005125 is a deficient number, since it is larger than the sum of its proper divisors (8761067).

33005125 is an equidigital number, since it uses as much as digits as its factorization.

33005125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3705 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 33005125 is about 5745.0087032136. The cubic root of 33005125 is about 320.7700368001.

Adding to 33005125 its reverse (52150033), we get a palindrome (85155158).

The spelling of 33005125 in words is "thirty-three million, five thousand, one hundred twenty-five".