58585 has 4 divisors (see below), whose sum is σ = 70308. Its totient is φ = 46864.

The previous prime is 58579. The next prime is 58601.

It is a happy number.

58585 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 7056 + 51529 = 84^2 + 227^2 .

It is a cyclic number.

It is not a de Polignac number, because 58585 - 2⁹ = 58073 is a prime.

It is an Ulam number.

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

It is a Duffinian number.

58585 is an undulating number in base 10.

It is a plaindrome in base 15.

It is a nialpdrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5854 + ... + 5863.

It is an arithmetic number, because the mean of its divisors is an integer number (17577).

2⁵⁸⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

58585 is a deficient number, since it is larger than the sum of its proper divisors (11723).

58585 is a wasteful number, since it uses less digits than its factorization.

58585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11722.

The product of its digits is 8000, while the sum is 31.

The square root of 58585 is about 242.0433845409. The cubic root of 58585 is about 38.8384728391.

It can be divided in two parts, 58 and 585, that multiplied together give a triangular number (33930 = T₂₆₀).

The spelling of 58585 in words is "fifty-eight thousand, five hundred eighty-five".