4113589 has 2 divisors, whose sum is σ = 4113590. Its totient is φ = 4113588.

The previous prime is 4113569. The next prime is 4113601. The reversal of 4113589 is 9853114.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3771364 + 342225 = 1942^2 + 585^2 .

It is a cyclic number.

It is not a de Polignac number, because 4113589 - 2⁹ = 4113077 is a prime.

It is a super-2 number, since 2×4113589² = 33843228921842, which contains 22 as substring.

4113589 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 4113589.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4113569) 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, 2056794 + 2056795.

It is an arithmetic number, because the mean of its divisors is an integer number (2056795).

Almost surely, 2^4113589 is an apocalyptic number.

It is an amenable number.

4113589 is a deficient number, since it is larger than the sum of its proper divisors (1).

4113589 is an equidigital number, since it uses as much as digits as its factorization.

4113589 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4320, while the sum is 31.

The square root of 4113589 is about 2028.1984616896. The cubic root of 4113589 is about 160.2286963940.

The spelling of 4113589 in words is "four million, one hundred thirteen thousand, five hundred eighty-nine".