4008289 has 2 divisors, whose sum is σ = 4008290. Its totient is φ = 4008288.

The previous prime is 4008287. The next prime is 4008307. The reversal of 4008289 is 9828004.

4008289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2226064 + 1782225 = 1492^2 + 1335^2 .

It is a cyclic number.

It is not a de Polignac number, because 4008289 - 2¹ = 4008287 is a prime.

Together with 4008287, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 4008289.

It is not a weakly prime, because it can be changed into another prime (4008287) 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 as a sum of consecutive naturals, namely, 2004144 + 2004145.

It is an arithmetic number, because the mean of its divisors is an integer number (2004145).

Almost surely, 2^4008289 is an apocalyptic number.

It is an amenable number.

4008289 is a deficient number, since it is larger than the sum of its proper divisors (1).

4008289 is an equidigital number, since it uses as much as digits as its factorization.

4008289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 4008289 is about 2002.0711775559. The cubic root of 4008289 is about 158.8496792710.

The spelling of 4008289 in words is "four million, eight thousand, two hundred eighty-nine".