4004089 has 2 divisors, whose sum is σ = 4004090. Its totient is φ = 4004088.

The previous prime is 4004087. The next prime is 4004137. The reversal of 4004089 is 9804004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3485689 + 518400 = 1867^2 + 720^2 .

It is a cyclic number.

It is not a de Polignac number, because 4004089 - 2¹ = 4004087 is a prime.

Together with 4004087, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (4004081) 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 as a sum of consecutive naturals, namely, 2002044 + 2002045.

It is an arithmetic number, because the mean of its divisors is an integer number (2002045).

Almost surely, 2^4004089 is an apocalyptic number.

It is an amenable number.

4004089 is a deficient number, since it is larger than the sum of its proper divisors (1).

4004089 is an equidigital number, since it uses as much as digits as its factorization.

4004089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 4004089 is about 2001.0219888847. The cubic root of 4004089 is about 158.7941774667.

It can be divided in two parts, 400 and 4089, that added together give a square (4489 = 67²).

The spelling of 4004089 in words is "four million, four thousand, eighty-nine".