580105 has 8 divisors (see below), whose sum is σ = 701064. Its totient is φ = 460800.

The previous prime is 580093. The next prime is 580133. The reversal of 580105 is 501085.

It can be written as a sum of positive squares in 4 ways, for example, as 26569 + 553536 = 163^2 + 744^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 580105 - 2¹⁹ = 55817 is a prime.

It is a super-2 number, since 2×580105² = 673043622050, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 585 + ... + 1225.

It is an arithmetic number, because the mean of its divisors is an integer number (87633).

2⁵⁸⁰¹⁰⁵ is an apocalyptic number.

It is an amenable number.

580105 is a deficient number, since it is larger than the sum of its proper divisors (120959).

580105 is a wasteful number, since it uses less digits than its factorization.

580105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827.

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 580105 is about 761.6462433440. The cubic root of 580105 is about 83.4005413380.

The spelling of 580105 in words is "five hundred eighty thousand, one hundred five".