580305 has 16 divisors (see below), whose sum is σ = 1013184. Its totient is φ = 281280.

The previous prime is 580303. The next prime is 580331. The reversal of 580305 is 503085.

580305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 580305 - 2¹ = 580303 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580301) 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, 1594 + ... + 1923.

It is an arithmetic number, because the mean of its divisors is an integer number (63324).

2⁵⁸⁰³⁰⁵ is an apocalyptic number.

580305 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

580305 is a deficient number, since it is larger than the sum of its proper divisors (432879).

580305 is a wasteful number, since it uses less digits than its factorization.

580305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3536.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 580305 is about 761.7775265785. Note that the first 3 decimals coincide. The cubic root of 580305 is about 83.4101247707.

The spelling of 580305 in words is "five hundred eighty thousand, three hundred five".