580085 has 16 divisors (see below), whose sum is σ = 777600. Its totient is φ = 411840.

The previous prime is 580081. The next prime is 580093.

580085 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 580085 - 2² = 580081 is a prime.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2816 + ... + 3014.

It is an arithmetic number, because the mean of its divisors is an integer number (48600).

2⁵⁸⁰⁰⁸⁵ is an apocalyptic number.

580085 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

580085 is a deficient number, since it is larger than the sum of its proper divisors (197515).

580085 is a wasteful number, since it uses less digits than its factorization.

580085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268.

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 580085 is about 761.6331137759. The cubic root of 580085 is about 83.3995828736.

It can be divided in two parts, 5800 and 85, that added together give a palindrome (5885).

The spelling of 580085 in words is "five hundred eighty thousand, eighty-five".