58111 has 2 divisors, whose sum is σ = 58112. Its totient is φ = 58110.

The previous prime is 58109. The next prime is 58129. The reversal of 58111 is 11185.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 58111 - 2¹ = 58109 is a prime.

Together with 58109, it forms a pair of twin primes.

58111 is a modest number, since divided by 111 gives 58 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29055 + 29056.

It is an arithmetic number, because the mean of its divisors is an integer number (29056).

2⁵⁸¹¹¹ is an apocalyptic number.

58111 is a deficient number, since it is larger than the sum of its proper divisors (1).

58111 is an equidigital number, since it uses as much as digits as its factorization.

58111 is an evil number, because the sum of its binary digits is even.

The product of its digits is 40, while the sum is 16.

The square root of 58111 is about 241.0622326288. The cubic root of 58111 is about 38.7334441936.

Adding to 58111 its reverse (11185), we get a palindrome (69296).

It can be divided in two parts, 58 and 111, that added together give a square (169 = 13²).

The spelling of 58111 in words is "fifty-eight thousand, one hundred eleven".