585073 has 2 divisors, whose sum is σ = 585074. Its totient is φ = 585072.

The previous prime is 585071. The next prime is 585077. The reversal of 585073 is 370585.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 418609 + 166464 = 647^2 + 408^2 .

It is a cyclic number.

It is not a de Polignac number, because 585073 - 2¹ = 585071 is a prime.

Together with 585071, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (585071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 292536 + 292537.

It is an arithmetic number, because the mean of its divisors is an integer number (292537).

2⁵⁸⁵⁰⁷³ is an apocalyptic number.

It is an amenable number.

585073 is a deficient number, since it is larger than the sum of its proper divisors (1).

585073 is an equidigital number, since it uses as much as digits as its factorization.

585073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 585073 is about 764.9006471431. The cubic root of 585073 is about 83.6379447415.

It can be divided in two parts, 5 and 85073, that added together give a triangular number (85078 = T₄₁₂).

The spelling of 585073 in words is "five hundred eighty-five thousand, seventy-three".