153585 has 12 divisors (see below), whose sum is σ = 266292. Its totient is φ = 81888.

The previous prime is 153563. The next prime is 153589. The reversal of 153585 is 585351.

It can be written as a sum of positive squares in 2 ways, for example, as 106929 + 46656 = 327^2 + 216^2 .

It is not a de Polignac number, because 153585 - 2⁶ = 153521 is a prime.

It is a Curzon number.

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 153585.

It is not an unprimeable number, because it can be changed into a prime (153589) 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 in 11 ways as a sum of consecutive naturals, for example, 1662 + ... + 1751.

It is an arithmetic number, because the mean of its divisors is an integer number (22191).

2¹⁵³⁵⁸⁵ is an apocalyptic number.

153585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

153585 is a deficient number, since it is larger than the sum of its proper divisors (112707).

153585 is a wasteful number, since it uses less digits than its factorization.

153585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 3421 counting only the distinct ones).

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

The square root of 153585 is about 391.8992217395. The cubic root of 153585 is about 53.5528926348.

It can be divided in two parts, 15 and 3585, that added together give a square (3600 = 60²).

The spelling of 153585 in words is "one hundred fifty-three thousand, five hundred eighty-five".