284733 has 12 divisors (see below), whose sum is σ = 435708. Its totient is φ = 178560.

The previous prime is 284731. The next prime is 284737. The reversal of 284733 is 337482.

It can be written as a sum of positive squares in 2 ways, for example, as 79524 + 205209 = 282^2 + 453^2 .

It is not a de Polignac number, because 284733 - 2¹ = 284731 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a d-powerful number, because it can be written as 2¹¹ + 8³ + 7³ + 4⁹ + 3 + 3⁹ .

284733 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 284697 and 284706.

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 284733.

It is not an unprimeable number, because it can be changed into a prime (284731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 778 + ... + 1083.

It is an arithmetic number, because the mean of its divisors is an integer number (36309).

2²⁸⁴⁷³³ is an apocalyptic number.

It is an amenable number.

284733 is a deficient number, since it is larger than the sum of its proper divisors (150975).

284733 is a wasteful number, since it uses less digits than its factorization.

284733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1881 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 284733 is about 533.6037855938. The cubic root of 284733 is about 65.7878865245.

It can be divided in two parts, 28 and 4733, that added together give a square (4761 = 69²).

The spelling of 284733 in words is "two hundred eighty-four thousand, seven hundred thirty-three".