201585 has 16 divisors (see below), whose sum is σ = 328320. Its totient is φ = 105600.

The previous prime is 201581. The next prime is 201589. The reversal of 201585 is 585102.

201585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201581) and next prime (201589).

It is not a de Polignac number, because 201585 - 2² = 201581 is a prime.

It is an Ulam number.

201585 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 201585.

It is not an unprimeable number, because it can be changed into a prime (201581) 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, 1260 + ... + 1410.

It is an arithmetic number, because the mean of its divisors is an integer number (20520).

2²⁰¹⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

201585 is a deficient number, since it is larger than the sum of its proper divisors (126735).

201585 is a wasteful number, since it uses less digits than its factorization.

201585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248.

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 201585 is about 448.9821822745. The cubic root of 201585 is about 58.6344340560.

Adding to 201585 its reverse (585102), we get a palindrome (786687).

The spelling of 201585 in words is "two hundred one thousand, five hundred eighty-five".