32424 has 32 divisors (see below), whose sum is σ = 93120. Its totient is φ = 9216.

The previous prime is 32423. The next prime is 32429. The reversal of 32424 is 42423.

It is a happy number.

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

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32424.

It is not an unprimeable number, because it can be changed into a prime (32423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72 + ... + 264.

It is an arithmetic number, because the mean of its divisors is an integer number (2910).

2³²⁴²⁴ 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 32424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46560).

32424 is an abundant number, since it is smaller than the sum of its proper divisors (60696).

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

32424 is a wasteful number, since it uses less digits than its factorization.

32424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 205 counting only the distinct ones).

The product of its digits is 192, while the sum is 15.

The square root of 32424 is about 180.0666543256. The cubic root of 32424 is about 31.8876266776.

Adding to 32424 its reverse (42423), we get a palindrome (74847).

Subtracting 32424 from its reverse (42423), we obtain a palindrome (9999).

It can be divided in two parts, 324 and 24, that multiplied together give a 5-th power (7776 = 6⁵).

The spelling of 32424 in words is "thirty-two thousand, four hundred twenty-four".