20032 has 14 divisors (see below), whose sum is σ = 39878. Its totient is φ = 9984.

The previous prime is 20029. The next prime is 20047. The reversal of 20032 is 23002.

It can be written as a sum of positive squares in only one way, i.e., 10816 + 9216 = 104^2 + 96^2 .

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 19997 and 20024.

It is a congruent number.

It is an unprimeable number.

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, 93 + ... + 220.

2²⁰⁰³² is an apocalyptic number.

It is an amenable number.

20032 is a deficient number, since it is larger than the sum of its proper divisors (19846).

20032 is an equidigital number, since it uses as much as digits as its factorization.

20032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 20032 is about 141.5344481036. The cubic root of 20032 is about 27.1586453457.

Adding to 20032 its reverse (23002), we get a palindrome (43034).

It can be divided in two parts, 200 and 32, that multiplied together give a square (6400 = 80²).

The spelling of 20032 in words is "twenty thousand, thirty-two".