58889 has 2 divisors, whose sum is σ = 58890. Its totient is φ = 58888.

The previous prime is 58831. The next prime is 58897. The reversal of 58889 is 98885.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43264 + 15625 = 208^2 + 125^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-58889 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a plaindrome in base 7, base 10 and base 15.

It is not a weakly prime, because it can be changed into another prime (58189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29444 + 29445.

It is an arithmetic number, because the mean of its divisors is an integer number (29445).

2⁵⁸⁸⁸⁹ is an apocalyptic number.

It is an amenable number.

58889 is a deficient number, since it is larger than the sum of its proper divisors (1).

58889 is an equidigital number, since it uses as much as digits as its factorization.

58889 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23040, while the sum is 38.

The square root of 58889 is about 242.6705585768. The cubic root of 58889 is about 38.9055351261.

The spelling of 58889 in words is "fifty-eight thousand, eight hundred eighty-nine".