21605952 has 56 divisors (see below), whose sum is σ = 58517536. Its totient is φ = 7031808.

The previous prime is 21605951. The next prime is 21605971. The reversal of 21605952 is 25950612.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21605951) 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, 6948 + ... + 9564.

It is an arithmetic number, because the mean of its divisors is an integer number (1044956).

Almost surely, 2^21605952 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 21605952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29258768).

21605952 is an abundant number, since it is smaller than the sum of its proper divisors (36911584).

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

21605952 is a wasteful number, since it uses less digits than its factorization.

21605952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2675 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 21605952 is about 4648.2203045897. The cubic root of 21605952 is about 278.5209079793.

The spelling of 21605952 in words is "twenty-one million, six hundred five thousand, nine hundred fifty-two".