58189 has 2 divisors, whose sum is σ = 58190. Its totient is φ = 58188.

The previous prime is 58171. The next prime is 58193. The reversal of 58189 is 98185.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38025 + 20164 = 195^2 + 142^2 .

It is a cyclic number.

It is not a de Polignac number, because 58189 - 2⁷ = 58061 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 58189.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29094 + 29095.

It is an arithmetic number, because the mean of its divisors is an integer number (29095).

2⁵⁸¹⁸⁹ is an apocalyptic number.

It is an amenable number.

58189 is a deficient number, since it is larger than the sum of its proper divisors (1).

58189 is an equidigital number, since it uses as much as digits as its factorization.

58189 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2880, while the sum is 31.

The square root of 58189 is about 241.2239623255. The cubic root of 58189 is about 38.7507665474.

The spelling of 58189 in words is "fifty-eight thousand, one hundred eighty-nine".