58193 has 2 divisors, whose sum is σ = 58194. Its totient is φ = 58192.

The previous prime is 58189. The next prime is 58199. The reversal of 58193 is 39185.

58193 is nontrivially palindromic in base 11.

58193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 49729 + 8464 = 223^2 + 92^2 .

It is a cyclic number.

It is not a de Polignac number, because 58193 - 2² = 58189 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (58199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29096 + 29097.

It is an arithmetic number, because the mean of its divisors is an integer number (29097).

2⁵⁸¹⁹³ is an apocalyptic number.

It is an amenable number.

58193 is a deficient number, since it is larger than the sum of its proper divisors (1).

58193 is an equidigital number, since it uses as much as digits as its factorization.

58193 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1080, while the sum is 26.

The square root of 58193 is about 241.2322532333. The cubic root of 58193 is about 38.7516544559.

The spelling of 58193 in words is "fifty-eight thousand, one hundred ninety-three".