21712000 has 128 divisors (see below), whose sum is σ = 57283200. Its totient is φ = 8166400.

The previous prime is 21711973. The next prime is 21712057. The reversal of 21712000 is 21712.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367971 + ... + 368029.

It is an arithmetic number, because the mean of its divisors is an integer number (447525).

Almost surely, 2^21712000 is an apocalyptic number.

21712000 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 21712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28641600).

21712000 is an abundant number, since it is smaller than the sum of its proper divisors (35571200).

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

21712000 is an equidigital number, since it uses as much as digits as its factorization.

21712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 21712000 is about 4659.6137178955. The cubic root of 21712000 is about 278.9758503953.

Adding to 21712000 its reverse (21712), we get a palindrome (21733712).

21712000 divided by its reverse (21712) gives a cube (1000 = 10³).

The spelling of 21712000 in words is "twenty-one million, seven hundred twelve thousand".