21952 has 28 divisors (see below), whose sum is σ = 50800. Its totient is φ = 9408.

The previous prime is 21943. The next prime is 21961. The reversal of 21952 is 25912.

The cubic root of 21952 is 28.

It is a perfect power (a cube), and thus also a powerful number.

21952 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (21943) and next prime (21961).

It is a tau number, because it is divible by the number of its divisors (28).

Its product of digits (180) is a multiple of the sum of its prime divisors (9).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

21952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3133 + ... + 3139.

21952 is a Friedman number, since it can be written as (29-1)^(5-2), using all its digits and the basic arithmetic operations.

2^{21952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25400).

21952 is an abundant number, since it is smaller than the sum of its proper divisors (28848).

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

21952 is an frugal number, since it uses more digits than its factorization.

21952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 9 counting only the distinct ones).

The product of its digits is 180, while the sum is 19.

The square root of 21952 is about 148.1620734196.

It can be divided in two parts, 2195 and 2, that added together give a cube (2197 = 13^{3}).

The spelling of 21952 in words is "twenty-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 686 784 1372 1568 2744 3136 5488 10976 21952

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