32224 has 24 divisors (see below), whose sum is σ = 68040. Its totient is φ = 14976.

The previous prime is 32213. The next prime is 32233. The reversal of 32224 is 42223.

It is a plaindrome in base 11 and base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 582 + ... + 634.

It is an arithmetic number, because the mean of its divisors is an integer number (2835).

2³²²²⁴ 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 32224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34020).

32224 is an abundant number, since it is smaller than the sum of its proper divisors (35816).

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

32224 is a wasteful number, since it uses less digits than its factorization.

32224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 74 counting only the distinct ones).

The product of its digits is 96, while the sum is 13.

The square root of 32224 is about 179.5104453785. The cubic root of 32224 is about 31.8219275739.

Adding to 32224 its reverse (42223), we get a palindrome (74447).

Subtracting 32224 from its reverse (42223), we obtain a palindrome (9999).

It can be divided in two parts, 32 and 224, that added together give a 8-th power (256 = 2⁸).

The spelling of 32224 in words is "thirty-two thousand, two hundred twenty-four".