33642225 has 18 divisors (see below), whose sum is σ = 60257366. Its totient is φ = 17942400.

The previous prime is 33642221. The next prime is 33642239. The reversal of 33642225 is 52224633.

It can be written as a sum of positive squares in 3 ways, for example, as 9199089 + 24443136 = 3033^2 + 4944^2 .

It is not a de Polignac number, because 33642225 - 2² = 33642221 is a prime.

It is a super-2 number, since 2×33642225² = 2263598605901250, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33642221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 74536 + ... + 74985.

Almost surely, 2^33642225 is an apocalyptic number.

It is an amenable number.

33642225 is a deficient number, since it is larger than the sum of its proper divisors (26615141).

33642225 is a wasteful number, since it uses less digits than its factorization.

33642225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149537 (or 149529 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 33642225 is about 5800.1918071733. The cubic root of 33642225 is about 322.8208452886.

Adding to 33642225 its reverse (52224633), we get a palindrome (85866858).

The spelling of 33642225 in words is "thirty-three million, six hundred forty-two thousand, two hundred twenty-five".