4042004 has 6 divisors (see below), whose sum is σ = 7073514. Its totient is φ = 2021000.

The previous prime is 4042001. The next prime is 4042019. The reversal of 4042004 is 4002404.

It can be written as a sum of positive squares in only one way, i.e., 2553604 + 1488400 = 1598^2 + 1220^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4042004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505247 + ... + 505254.

It is an arithmetic number, because the mean of its divisors is an integer number (1178919).

Almost surely, 2^4042004 is an apocalyptic number.

It is an amenable number.

4042004 is a deficient number, since it is larger than the sum of its proper divisors (3031510).

4042004 is a wasteful number, since it uses less digits than its factorization.

4042004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010505 (or 1010503 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 4042004 is about 2010.4735760512. The cubic root of 4042004 is about 159.2938148094.

Adding to 4042004 its reverse (4002404), we get a palindrome (8044408).

The spelling of 4042004 in words is "four million, forty-two thousand, four", and thus it is an eban number.