21352000 has 112 divisors (see below), whose sum is σ = 56345328. Its totient is φ = 7987200.

The previous prime is 21351977. The next prime is 21352007. The reversal of 21352000 is 25312.

It can be written as a sum of positive squares in 8 ways, for example, as 6110784 + 15241216 = 2472^2 + 3904^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21352007) 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, 135922 + ... + 136078.

Almost surely, 2^21352000 is an apocalyptic number.

21352000 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 21352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28172664).

21352000 is an abundant number, since it is smaller than the sum of its proper divisors (34993328).

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

21352000 is a wasteful number, since it uses less digits than its factorization.

21352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 21352000 is about 4620.8224376187. The cubic root of 21352000 is about 277.4253783068.

Adding to 21352000 its reverse (25312), we get a palindrome (21377312).

The spelling of 21352000 in words is "twenty-one million, three hundred fifty-two thousand".