384585 has 8 divisors (see below), whose sum is σ = 615360. Its totient is φ = 205104.

The previous prime is 384581. The next prime is 384589. The reversal of 384585 is 585483.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (384581) and next prime (384589).

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

It is not a de Polignac number, because 384585 - 2² = 384581 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a plaindrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 384585.

It is not an unprimeable number, because it can be changed into a prime (384581) 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 7 ways as a sum of consecutive naturals, for example, 12805 + ... + 12834.

It is an arithmetic number, because the mean of its divisors is an integer number (76920).

2³⁸⁴⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

384585 is a deficient number, since it is larger than the sum of its proper divisors (230775).

384585 is a wasteful number, since it uses less digits than its factorization.

384585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25647.

The product of its digits is 19200, while the sum is 33.

The square root of 384585 is about 620.1491756021. The cubic root of 384585 is about 72.7217152477.

It can be divided in two parts, 384 and 585, that added together give a palindrome (969).

The spelling of 384585 in words is "three hundred eighty-four thousand, five hundred eighty-five".