59009 has 2 divisors, whose sum is σ = 59010. Its totient is φ = 59008.

The previous prime is 58997. The next prime is 59011. The reversal of 59009 is 90095.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48400 + 10609 = 220^2 + 103^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-59009 is a prime.

Together with 59011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (59029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29504 + 29505.

It is an arithmetic number, because the mean of its divisors is an integer number (29505).

2⁵⁹⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

59009 is a deficient number, since it is larger than the sum of its proper divisors (1).

59009 is an equidigital number, since it uses as much as digits as its factorization.

59009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 405, while the sum is 23.

The square root of 59009 is about 242.9176815302. The cubic root of 59009 is about 38.9319435478.

The spelling of 59009 in words is "fifty-nine thousand, nine".