3585 has 8 divisors (see below), whose sum is σ = 5760. Its totient is φ = 1904.

The previous prime is 3583. The next prime is 3593. The reversal of 3585 is 5853.

3585 is nontrivially palindromic in base 14.

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

It is a cyclic number.

It is not a de Polignac number, because 3585 - 2¹ = 3583 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3581) 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, 105 + ... + 134.

It is an arithmetic number, because the mean of its divisors is an integer number (720).

It is a Proth number, since it is equal to 7 ⋅ 2⁹ + 1 and 7 < 2⁹.

2³⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

3585 is a deficient number, since it is larger than the sum of its proper divisors (2175).

3585 is a wasteful number, since it uses less digits than its factorization.

3585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247.

The product of its digits is 600, while the sum is 21.

The square root of 3585 is about 59.8748695197. The cubic root of 3585 is about 15.3048726417.

It can be divided in two parts, 358 and 5, that added together give a palindrome (363).

The spelling of 3585 in words is "three thousand, five hundred eighty-five".