4004684973 has 12 divisors (see below), whose sum is σ = 5940884508. Its totient is φ = 2597633280.

The previous prime is 4004684947. The next prime is 4004684977. The reversal of 4004684973 is 3794864004.

It can be written as a sum of positive squares in 2 ways, for example, as 3208429449 + 796255524 = 56643^2 + 28218^2 .

It is not a de Polignac number, because 4004684973 - 2⁵ = 4004684941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004684977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6012708 + ... + 6013373.

It is an arithmetic number, because the mean of its divisors is an integer number (495073709).

Almost surely, 2^4004684973 is an apocalyptic number.

It is an amenable number.

4004684973 is a deficient number, since it is larger than the sum of its proper divisors (1936199535).

4004684973 is a wasteful number, since it uses less digits than its factorization.

4004684973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12026124 (or 12026121 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4004684973 is about 63282.5803282388. The cubic root of 4004684973 is about 1588.0205544241.

The spelling of 4004684973 in words is "four billion, four million, six hundred eighty-four thousand, nine hundred seventy-three".