4004973 has 24 divisors (see below), whose sum is σ = 6670976. Its totient is φ = 2268000.

The previous prime is 4004951. The next prime is 4004989. The reversal of 4004973 is 3794004.

It is not a de Polignac number, because 4004973 - 2⁶ = 4004909 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9303 + ... + 9723.

Almost surely, 2^4004973 is an apocalyptic number.

It is an amenable number.

4004973 is a deficient number, since it is larger than the sum of its proper divisors (2666003).

4004973 is a wasteful number, since it uses less digits than its factorization.

4004973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 4004973 is about 2001.2428638224. The cubic root of 4004973 is about 158.8058624987.

Adding to 4004973 its reverse (3794004), we get a palindrome (7798977).

The spelling of 4004973 in words is "four million, four thousand, nine hundred seventy-three".