21817964 has 48 divisors (see below), whose sum is σ = 45480960. Its totient is φ = 8964480.

The previous prime is 21817963. The next prime is 21817969. The reversal of 21817964 is 46971812.

It is not an unprimeable number, because it can be changed into a prime (21817963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77504 + ... + 77784.

It is an arithmetic number, because the mean of its divisors is an integer number (947520).

Almost surely, 2^21817964 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 21817964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22740480).

21817964 is an abundant number, since it is smaller than the sum of its proper divisors (23662996).

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

21817964 is a wasteful number, since it uses less digits than its factorization.

21817964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 396 counting only the distinct ones).

The product of its digits is 24192, while the sum is 38.

The square root of 21817964 is about 4670.9703488676. The cubic root of 21817964 is about 279.4289552246.

The spelling of 21817964 in words is "twenty-one million, eight hundred seventeen thousand, nine hundred sixty-four".