4004875 has 32 divisors (see below), whose sum is σ = 5990400. Its totient is φ = 2613600.

The previous prime is 4004873. The next prime is 4004881. The reversal of 4004875 is 5784004.

4004875 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4004875 - 2¹ = 4004873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4004873) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 20026 + ... + 20224.

It is an arithmetic number, because the mean of its divisors is an integer number (187200).

Almost surely, 2^4004875 is an apocalyptic number.

4004875 is a deficient number, since it is larger than the sum of its proper divisors (1985525).

4004875 is a wasteful number, since it uses less digits than its factorization.

4004875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 4004875 is about 2001.2183788882. The cubic root of 4004875 is about 158.8045671840.

Adding to 4004875 its reverse (5784004), we get a palindrome (9788879).

The spelling of 4004875 in words is "four million, four thousand, eight hundred seventy-five".