33009324 has 48 divisors (see below), whose sum is σ = 80908800. Its totient is φ = 10454400.

The previous prime is 33009323. The next prime is 33009329. The reversal of 33009324 is 42390033.

It is a junction number, because it is equal to n+sod(n) for n = 33009294 and 33009303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33009323) 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 15 ways as a sum of consecutive naturals, for example, 54624 + ... + 55224.

It is an arithmetic number, because the mean of its divisors is an integer number (1685600).

Almost surely, 2^33009324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33009324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40454400).

33009324 is an abundant number, since it is smaller than the sum of its proper divisors (47899476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33009324 is a wasteful number, since it uses less digits than its factorization.

33009324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 33009324 is about 5745.3741392532. The cubic root of 33009324 is about 320.7836392964.

Adding to 33009324 its reverse (42390033), we get a palindrome (75399357).

It can be divided in two parts, 33009 and 324, that added together give a palindrome (33333).

The spelling of 33009324 in words is "thirty-three million, nine thousand, three hundred twenty-four".