4005084 has 12 divisors (see below), whose sum is σ = 9345224. Its totient is φ = 1335024.

The previous prime is 4005049. The next prime is 4005091. The reversal of 4005084 is 4805004.

It is a tau number, because it is divible by the number of its divisors (12).

It is a self number, because there is not a number n which added to its sum of digits gives 4005084.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 166867 + ... + 166890.

Almost surely, 2^4005084 is an apocalyptic number.

It is an amenable number.

4005084 is an abundant number, since it is smaller than the sum of its proper divisors (5340140).

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

4005084 is a wasteful number, since it uses less digits than its factorization.

4005084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333764 (or 333762 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 4005084 is about 2001.2705963962. The cubic root of 4005084 is about 158.8073296153.

The spelling of 4005084 in words is "four million, five thousand, eighty-four".