33224 has 8 divisors (see below), whose sum is σ = 62310. Its totient is φ = 16608.

The previous prime is 33223. The next prime is 33247. The reversal of 33224 is 42233.

It can be written as a sum of positive squares in only one way, i.e., 33124 + 100 = 182^2 + 10^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×33224² = 2207668352, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3⁴ + 3⁵ + 2⁷ + 2¹⁵ + 4 .

It is a junction number, because it is equal to n+sod(n) for n = 33199 and 33208.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33224.

It is not an unprimeable number, because it can be changed into a prime (33223) 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 as a sum of consecutive naturals, namely, 2069 + ... + 2084.

2³³²²⁴ is an apocalyptic number.

It is an amenable number.

33224 is a deficient number, since it is larger than the sum of its proper divisors (29086).

33224 is a wasteful number, since it uses less digits than its factorization.

33224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4159 (or 4155 counting only the distinct ones).

The product of its digits is 144, while the sum is 14.

The square root of 33224 is about 182.2745182410. The cubic root of 33224 is about 32.1477542215.

Adding to 33224 its reverse (42233), we get a palindrome (75457).

Subtracting 33224 from its reverse (42233), we obtain a palindrome (9009).

The spelling of 33224 in words is "thirty-three thousand, two hundred twenty-four".