58909 has 2 divisors, whose sum is σ = 58910. Its totient is φ = 58908.

The previous prime is 58907. The next prime is 58913. The reversal of 58909 is 90985.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31684 + 27225 = 178^2 + 165^2 .

It is a cyclic number.

It is not a de Polignac number, because 58909 - 2¹ = 58907 is a prime.

Together with 58907, it forms a pair of twin primes.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29454 + 29455.

It is an arithmetic number, because the mean of its divisors is an integer number (29455).

2⁵⁸⁹⁰⁹ is an apocalyptic number.

It is an amenable number.

58909 is a deficient number, since it is larger than the sum of its proper divisors (1).

58909 is an equidigital number, since it uses as much as digits as its factorization.

58909 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 58909 is about 242.7117632090. The cubic root of 58909 is about 38.9099390195.

The spelling of 58909 in words is "fifty-eight thousand, nine hundred nine".