4221984 has 96 divisors (see below), whose sum is σ = 12700800. Its totient is φ = 1216512.

The previous prime is 4221977. The next prime is 4221989. The reversal of 4221984 is 4891224.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4221989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21117 + ... + 21315.

It is an arithmetic number, because the mean of its divisors is an integer number (132300).

Almost surely, 2^4221984 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 4221984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6350400).

4221984 is an abundant number, since it is smaller than the sum of its proper divisors (8478816).

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

4221984 is a wasteful number, since it uses less digits than its factorization.

4221984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 234 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 4221984 is about 2054.7466997175. The cubic root of 4221984 is about 161.6238797505.

The spelling of 4221984 in words is "four million, two hundred twenty-one thousand, nine hundred eighty-four".