58309 has 2 divisors, whose sum is σ = 58310. Its totient is φ = 58308.

The previous prime is 58271. The next prime is 58313. The reversal of 58309 is 90385.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49284 + 9025 = 222^2 + 95^2 .

It is a cyclic number.

It is not a de Polignac number, because 58309 - 2¹⁵ = 25541 is a prime.

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 (58369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29154 + 29155.

It is an arithmetic number, because the mean of its divisors is an integer number (29155).

2⁵⁸³⁰⁹ is an apocalyptic number.

It is an amenable number.

58309 is a deficient number, since it is larger than the sum of its proper divisors (1).

58309 is an equidigital number, since it uses as much as digits as its factorization.

58309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 58309 is about 241.4725657295. The cubic root of 58309 is about 38.7773861210. Note that the first 3 decimals are identical.

The spelling of 58309 in words is "fifty-eight thousand, three hundred nine".