20332 has 24 divisors (see below), whose sum is σ = 42336. Its totient is φ = 8448.

The previous prime is 20327. The next prime is 20333. The reversal of 20332 is 23302.

20332 is nontrivially palindromic in base 3.

It is a d-powerful number, because it can be written as 2⁷ + 0 + 3² + 3⁹ + 2⁹ .

It is not an unprimeable number, because it can be changed into a prime (20333) by changing a digit.

20332 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 873 + ... + 895.

It is an arithmetic number, because the mean of its divisors is an integer number (1764).

2²⁰³³² is an apocalyptic number.

It is an amenable number.

20332 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (21168).

20332 is a wasteful number, since it uses less digits than its factorization.

20332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 20332 is about 142.5903222522. The cubic root of 20332 is about 27.2935504271.

Adding to 20332 its reverse (23302), we get a palindrome (43634).

The spelling of 20332 in words is "twenty thousand, three hundred thirty-two".