4082004 has 36 divisors (see below), whose sum is σ = 10401300. Its totient is φ = 1349760.

The previous prime is 4081999. The next prime is 4082021. The reversal of 4082004 is 4002804.

It is a happy number.

4082004 is digitally balanced in base 2, 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 161604 + 3920400 = 402^2 + 1980^2 .

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4984 + ... + 5744.

It is an arithmetic number, because the mean of its divisors is an integer number (288925).

Almost surely, 2^4082004 is an apocalyptic number.

It is an amenable number.

4082004 is an abundant number, since it is smaller than the sum of its proper divisors (6319296).

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

4082004 is a wasteful number, since it uses less digits than its factorization.

4082004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 915 counting only the distinct ones).

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

The square root of 4082004 is about 2020.3969906927. The cubic root of 4082004 is about 159.8175524513.

Adding to 4082004 its reverse (4002804), we get a palindrome (8084808).

The spelling of 4082004 in words is "four million, eighty-two thousand, four".