33324 has 12 divisors (see below), whose sum is σ = 77784. Its totient is φ = 11104.

The previous prime is 33317. The next prime is 33329. The reversal of 33324 is 42333.

33324 = 61² + 62² + ... + 68².

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×33324² = 2220977952, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (33329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1377 + ... + 1400.

It is an arithmetic number, because the mean of its divisors is an integer number (6482).

2³³³²⁴ is an apocalyptic number.

It is an amenable number.

33324 is an abundant number, since it is smaller than the sum of its proper divisors (44460).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38892).

33324 is a wasteful number, since it uses less digits than its factorization.

33324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2782 counting only the distinct ones).

The product of its digits is 216, while the sum is 15.

The square root of 33324 is about 182.5486236596. The cubic root of 33324 is about 32.1799754617.

Adding to 33324 its reverse (42333), we get a palindrome (75657).

Subtracting 33324 from its reverse (42333), we obtain a palindrome (9009).

The spelling of 33324 in words is "thirty-three thousand, three hundred twenty-four".