4005984 has 24 divisors (see below), whose sum is σ = 10515960. Its totient is φ = 1335296.

The previous prime is 4005983. The next prime is 4006001. The reversal of 4005984 is 4895004.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005983) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20769 + ... + 20960.

It is an arithmetic number, because the mean of its divisors is an integer number (438165).

Almost surely, 2^4005984 is an apocalyptic number.

It is an amenable number.

4005984 is an abundant number, since it is smaller than the sum of its proper divisors (6509976).

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

4005984 is a wasteful number, since it uses less digits than its factorization.

4005984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41742 (or 41734 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 4005984 is about 2001.4954409141. The cubic root of 4005984 is about 158.8192241551.

The spelling of 4005984 in words is "four million, five thousand, nine hundred eighty-four".