58591 has 4 divisors (see below), whose sum is σ = 63112. Its totient is φ = 54072.

The previous prime is 58579. The next prime is 58601. The reversal of 58591 is 19585.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 19585 = 5 ⋅3917.

It is a cyclic number.

It is not a de Polignac number, because 58591 - 2¹¹ = 56543 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 5 and base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2241 + ... + 2266.

It is an arithmetic number, because the mean of its divisors is an integer number (15778).

2⁵⁸⁵⁹¹ is an apocalyptic number.

58591 is a deficient number, since it is larger than the sum of its proper divisors (4521).

58591 is a wasteful number, since it uses less digits than its factorization.

58591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4520.

The product of its digits is 1800, while the sum is 28.

The square root of 58591 is about 242.0557786957. The cubic root of 58591 is about 38.8397986783.

It can be divided in two parts, 585 and 91, that multiplied together give a palindrome (53235).

The spelling of 58591 in words is "fifty-eight thousand, five hundred ninety-one".