2008084 has 36 divisors (see below), whose sum is σ = 4010356. Its totient is φ = 874368.

The previous prime is 2008081. The next prime is 2008103. The reversal of 2008084 is 4808002.

2008084 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 685584 + 1322500 = 828^2 + 1150^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27472 + ... + 27544.

2^2008084 is an apocalyptic number.

It is an amenable number.

2008084 is a deficient number, since it is larger than the sum of its proper divisors (2002272).

2008084 is a wasteful number, since it uses less digits than its factorization.

2008084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 2008084 is about 1417.0688056689. The cubic root of 2008084 is about 126.1616301501.

It can be divided in two parts, 20080 and 84, that added together give a square (20164 = 142²).

The spelling of 2008084 in words is "two million, eight thousand, eighty-four".