21500952 has 64 divisors (see below), whose sum is σ = 61205760. Its totient is φ = 6230400.

The previous prime is 21500939. The next prime is 21500953. The reversal of 21500952 is 25900512.

It is a super-3 number, since 3×21500952³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21500953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4302 + ... + 7842.

It is an arithmetic number, because the mean of its divisors is an integer number (956340).

Almost surely, 2^21500952 is an apocalyptic number.

21500952 is a gapful number since it is divisible by the number (22) 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 21500952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30602880).

21500952 is an abundant number, since it is smaller than the sum of its proper divisors (39704808).

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

21500952 is a wasteful number, since it uses less digits than its factorization.

21500952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 21500952 is about 4636.9119034116. The cubic root of 21500952 is about 278.0689924170.

The spelling of 21500952 in words is "twenty-one million, five hundred thousand, nine hundred fifty-two".