21332000 has 48 divisors (see below), whose sum is σ = 52422552. Its totient is φ = 8531200.

The previous prime is 21331993. The next prime is 21332009. The reversal of 21332000 is 23312.

It can be written as a sum of positive squares in 4 ways, for example, as 13868176 + 7463824 = 3724^2 + 2732^2 .

It is not an unprimeable number, because it can be changed into a prime (21332009) 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, 1334 + ... + 6666.

Almost surely, 2^21332000 is an apocalyptic number.

21332000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26211276).

21332000 is an abundant number, since it is smaller than the sum of its proper divisors (31090552).

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

21332000 is an equidigital number, since it uses as much as digits as its factorization.

21332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5358 (or 5340 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 21332000 is about 4618.6578136944. The cubic root of 21332000 is about 277.3387316093.

Adding to 21332000 its reverse (23312), we get a palindrome (21355312).

The spelling of 21332000 in words is "twenty-one million, three hundred thirty-two thousand".