284985 has 16 divisors (see below), whose sum is σ = 506880. Its totient is φ = 151920.

The previous prime is 284969. The next prime is 284989. The reversal of 284985 is 589482.

It is not a de Polignac number, because 284985 - 2⁴ = 284969 is a prime.

284985 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 284985.

It is not an unprimeable number, because it can be changed into a prime (284989) 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, 921 + ... + 1190.

It is an arithmetic number, because the mean of its divisors is an integer number (31680).

2²⁸⁴⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

284985 is a deficient number, since it is larger than the sum of its proper divisors (221895).

284985 is a wasteful number, since it uses less digits than its factorization.

284985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2119 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 284985 is about 533.8398636295. The cubic root of 284985 is about 65.8072890981.

Adding to 284985 its product of digits (23040), we get a square (308025 = 555²).

The spelling of 284985 in words is "two hundred eighty-four thousand, nine hundred eighty-five".