585135 has 12 divisors (see below), whose sum is σ = 1014312. Its totient is φ = 312048.

The previous prime is 585131. The next prime is 585149. The reversal of 585135 is 531585.

It is not a de Polignac number, because 585135 - 2² = 585131 is a prime.

585135 is a lucky number.

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 585099 and 585108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (585131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6457 + ... + 6546.

It is an arithmetic number, because the mean of its divisors is an integer number (84526).

2⁵⁸⁵¹³⁵ is an apocalyptic number.

585135 is a deficient number, since it is larger than the sum of its proper divisors (429177).

585135 is a wasteful number, since it uses less digits than its factorization.

585135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13014 (or 13011 counting only the distinct ones).

The product of its digits is 3000, while the sum is 27.

The square root of 585135 is about 764.9411742088. The cubic root of 585135 is about 83.6408989993.

It can be divided in two parts, 5851 and 35, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 585135 in words is "five hundred eighty-five thousand, one hundred thirty-five".