282112 has 40 divisors (see below), whose sum is σ = 613800. Its totient is φ = 129024.

The previous prime is 282103. The next prime is 282127. The reversal of 282112 is 211282.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

282112 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9714 + ... + 9742.

It is an arithmetic number, because the mean of its divisors is an integer number (15345).

2²⁸²¹¹² 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 282112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306900).

282112 is an abundant number, since it is smaller than the sum of its proper divisors (331688).

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

282112 is an equidigital number, since it uses as much as digits as its factorization.

282112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 50 counting only the distinct ones).

The product of its digits is 64, while the sum is 16.

The square root of 282112 is about 531.1421655263. The cubic root of 282112 is about 65.5854022645.

Adding to 282112 its reverse (211282), we get a palindrome (493394).

The spelling of 282112 in words is "two hundred eighty-two thousand, one hundred twelve".