159585 has 8 divisors (see below), whose sum is σ = 255360. Its totient is φ = 85104.

The previous prime is 159571. The next prime is 159589. The reversal of 159585 is 585951.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 159585 - 2⁴ = 159569 is a prime.

It is a nialpdrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 159585.

It is not an unprimeable number, because it can be changed into a prime (159589) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5305 + ... + 5334.

It is an arithmetic number, because the mean of its divisors is an integer number (31920).

2¹⁵⁹⁵⁸⁵ is an apocalyptic number.

159585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

159585 is a deficient number, since it is larger than the sum of its proper divisors (95775).

159585 is a wasteful number, since it uses less digits than its factorization.

159585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10647.

The product of its digits is 9000, while the sum is 33.

The square root of 159585 is about 399.4809131861. The cubic root of 159585 is about 54.2413748879.

The spelling of 159585 in words is "one hundred fifty-nine thousand, five hundred eighty-five".