58601 has 2 divisors, whose sum is σ = 58602. Its totient is φ = 58600.

The previous prime is 58579. The next prime is 58603. The reversal of 58601 is 10685.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48400 + 10201 = 220^2 + 101^2 .

It is a cyclic number.

It is not a de Polignac number, because 58601 - 2⁶ = 58537 is a prime.

It is a Sophie Germain prime.

Together with 58603, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (58603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29300 + 29301.

It is an arithmetic number, because the mean of its divisors is an integer number (29301).

2⁵⁸⁶⁰¹ is an apocalyptic number.

It is an amenable number.

58601 is a deficient number, since it is larger than the sum of its proper divisors (1).

58601 is an equidigital number, since it uses as much as digits as its factorization.

58601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 58601 is about 242.0764342104. The cubic root of 58601 is about 38.8420082093.

The spelling of 58601 in words is "fifty-eight thousand, six hundred one".