585105 has 16 divisors (see below), whose sum is σ = 985920. Its totient is φ = 295488.

The previous prime is 585077. The next prime is 585107. The reversal of 585105 is 501585.

585105 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 585105 - 2⁵ = 585073 is a prime.

It is a super-2 number, since 2×585105² = 684695722050, which contains 22 as substring.

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 585105.

It is not an unprimeable number, because it can be changed into a prime (585107) 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, 742 + ... + 1311.

It is an arithmetic number, because the mean of its divisors is an integer number (61620).

2⁵⁸⁵¹⁰⁵ is an apocalyptic number.

It is an amenable number.

585105 is a deficient number, since it is larger than the sum of its proper divisors (400815).

585105 is a wasteful number, since it uses less digits than its factorization.

585105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080.

The product of its (nonzero) digits is 1000, while the sum is 24.

The square root of 585105 is about 764.9215646065. The cubic root of 585105 is about 83.6394695458.

It can be divided in two parts, 585 and 105, that multiplied together give a triangular number (61425 = T₃₅₀).

The spelling of 585105 in words is "five hundred eighty-five thousand, one hundred five".