21322000 has 80 divisors (see below), whose sum is σ = 58960512. Its totient is φ = 7305600.

The previous prime is 21321991. The next prime is 21322003. The reversal of 21322000 is 22312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (21322003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13239 + ... + 14761.

Almost surely, 2^21322000 is an apocalyptic number.

21322000 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 21322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29480256).

21322000 is an abundant number, since it is smaller than the sum of its proper divisors (37638512).

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

21322000 is a wasteful number, since it uses less digits than its factorization.

21322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 21322000 is about 4617.5751212081. The cubic root of 21322000 is about 277.2953879503.

Adding to 21322000 its reverse (22312), we get a palindrome (21344312).

The spelling of 21322000 in words is "twenty-one million, three hundred twenty-two thousand".