1004004 has 27 divisors (see below), whose sum is σ = 2553187. Its totient is φ = 332664.

The previous prime is 1003963. The next prime is 1004027. The reversal of 1004004 is 4004001.

The square root of 1004004 is 1002.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 5929 + ... + 6095.

2^1004004 is an apocalyptic number.

1004004 is the 1002-nd square number.

It is an amenable number.

1004004 is an abundant number, since it is smaller than the sum of its proper divisors (1549183).

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

1004004 is a wasteful number, since it uses less digits than its factorization.

1004004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The cubic root of 1004004 is about 100.1332889283.

Multiplying 1004004 by its product of nonzero digits (16), we get a square (16064064 = 4008²).

Adding to 1004004 its reverse (4004001), we get a palindrome (5008005).

Multiplying 1004004 by its reverse (4004001), we get a square (4020033020004 = 2005002²).

The spelling of 1004004 in words is "one million, four thousand, four".