4006084 has 12 divisors (see below), whose sum is σ = 7423164. Its totient is φ = 1885184.

The previous prime is 4006063. The next prime is 4006091. The reversal of 4006084 is 4806004.

4006084 = 397² + 398² + ... + 420².

It can be written as a sum of positive squares in 2 ways, for example, as 2985984 + 1020100 = 1728^2 + 1010^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29389 + ... + 29524.

It is an arithmetic number, because the mean of its divisors is an integer number (618597).

Almost surely, 2^4006084 is an apocalyptic number.

It is an amenable number.

4006084 is a deficient number, since it is larger than the sum of its proper divisors (3417080).

4006084 is a wasteful number, since it uses less digits than its factorization.

4006084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58934 (or 58932 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 4006084 is about 2001.5204220792. The cubic root of 4006084 is about 158.8205456606.

It can be divided in two parts, 400 and 6084, that multiplied together give a square (2433600 = 1560²).

The spelling of 4006084 in words is "four million, six thousand, eighty-four".