585 has 12 divisors (see below), whose sum is σ = 1092. Its totient is φ = 288.

The previous prime is 577. The next prime is 587.

585 is nontrivially palindromic in base 2, base 8 and base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 144 + 441 = 12^2 + 21^2 .

It is not a de Polignac number, because 585 - 2^{3} = 577 is a prime.

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

585 is an undulating number in base 10.

It is a Curzon number.

585 is a nontrivial repdigit in base 8.

It is a plaindrome in base 8 and base 16.

It is a nialpdrome in base 5, base 8 and base 9.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (587) by changing a digit.

It is a nontrivial repunit in base 8.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39 + ... + 51.

It is an arithmetic number, because the mean of its divisors is an integer number (91).

It is an amenable number.

585 is a deficient number, since it is larger than the sum of its proper divisors (507).

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

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

The sum of its prime factors is 24 (or 21 counting only the distinct ones).

The product of its digits is 200, while the sum is 18.

The square root of 585 is about 24.1867732449. The cubic root of 585 is about 8.3634466074.

The spelling of 585 in words is "five hundred eighty-five", and thus it is an aban number and an oban number.

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