21882 has 16 divisors (see below), whose sum is σ = 50112. Its totient is φ = 6240.

The previous prime is 21881. The next prime is 21893. The reversal of 21882 is 28812.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (21881) 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, 219 + ... + 302.

It is an arithmetic number, because the mean of its divisors is an integer number (3132).

2²¹⁸⁸² is an apocalyptic number.

21882 is an abundant number, since it is smaller than the sum of its proper divisors (28230).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25056).

21882 is a wasteful number, since it uses less digits than its factorization.

21882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533.

The product of its digits is 256, while the sum is 21.

The square root of 21882 is about 147.9256570038. The cubic root of 21882 is about 27.9702064044.

It can be divided in two parts, 218 and 82, that added together give a triangular number (300 = T₂₄).

The spelling of 21882 in words is "twenty-one thousand, eight hundred eighty-two".