33304441 has 9 divisors (see below), whose sum is σ = 34666671. Its totient is φ = 31994424.

The previous prime is 33304433. The next prime is 33304457. The reversal of 33304441 is 14440333.

The square root of 33304441 is 5771.

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., 17464041 + 15840400 = 4179^2 + 3980^2 .

It is not a de Polignac number, because 33304441 - 2³ = 33304433 is a prime.

It is a super-2 number, since 2×33304441² = 2218371580644962, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33304421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 167260 + ... + 167458.

Almost surely, 2^33304441 is an apocalyptic number.

33304441 is the 5771-st square number.

33304441 is the 2886-th centered octagonal number.

It is an amenable number.

33304441 is a deficient number, since it is larger than the sum of its proper divisors (1362230).

33304441 is an frugal number, since it uses more digits than its factorization.

33304441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The cubic root of 33304441 is about 321.7367838532.

Adding to 33304441 its reverse (14440333), we get a palindrome (47744774).

The spelling of 33304441 in words is "thirty-three million, three hundred four thousand, four hundred forty-one".