580001 has 2 divisors, whose sum is σ = 580002. Its totient is φ = 580000.

The previous prime is 579983. The next prime is 580031. The reversal of 580001 is 100085.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 577600 + 2401 = 760^2 + 49^2 .

It is a cyclic number.

It is not a de Polignac number, because 580001 - 2¹⁸ = 317857 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (580031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 290000 + 290001.

It is an arithmetic number, because the mean of its divisors is an integer number (290001).

2⁵⁸⁰⁰⁰¹ is an apocalyptic number.

It is an amenable number.

580001 is a deficient number, since it is larger than the sum of its proper divisors (1).

580001 is an equidigital number, since it uses as much as digits as its factorization.

580001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 580001 is about 761.5779671183. The cubic root of 580001 is about 83.3955570825.

Adding to 580001 its reverse (100085), we get a palindrome (680086).

The spelling of 580001 in words is "five hundred eighty thousand, one".