4002084 has 36 divisors (see below), whose sum is σ = 10650640. Its totient is φ = 1263600.

The previous prime is 4002077. The next prime is 4002101. The reversal of 4002084 is 4802004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2242 + ... + 3609.

Almost surely, 2^4002084 is an apocalyptic number.

It is an amenable number.

4002084 is an abundant number, since it is smaller than the sum of its proper divisors (6648556).

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

4002084 is a wasteful number, since it uses less digits than its factorization.

4002084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5880 (or 5875 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4002084 is about 2000.5209321574. The cubic root of 4002084 is about 158.7676682755.

Adding to 4002084 its reverse (4802004), we get a palindrome (8804088).

It can be divided in two parts, 40020 and 84, that added together give a palindrome (40104).

The spelling of 4002084 in words is "four million, two thousand, eighty-four".