283284 has 48 divisors (see below), whose sum is σ = 763840. Its totient is φ = 90720.

The previous prime is 283277. The next prime is 283289. The reversal of 283284 is 482382.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam 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 283284.

It is not an unprimeable number, because it can be changed into a prime (283289) by changing a digit.

283284 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4614 + ... + 4674.

2²⁸³²⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 283284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381920).

283284 is an abundant number, since it is smaller than the sum of its proper divisors (480556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

283284 is a wasteful number, since it uses less digits than its factorization.

283284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 109 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 283284 is about 532.2443048075. The cubic root of 283284 is about 65.6760989769.

It can be divided in two parts, 2832 and 84, that added together give a square (2916 = 54²).

The spelling of 283284 in words is "two hundred eighty-three thousand, two hundred eighty-four".