282282 has 64 divisors (see below), whose sum is σ = 774144. Its totient is φ = 66240.

The previous prime is 282281. The next prime is 282287.

282282 is nontrivially palindromic in base 10.

282282 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (282281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5983 + ... + 6029.

It is an arithmetic number, because the mean of its divisors is an integer number (12096).

2²⁸²²⁸² is an apocalyptic number.

282282 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 282282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387072).

282282 is an abundant number, since it is smaller than the sum of its proper divisors (491862).

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

282282 is a wasteful number, since it uses less digits than its factorization.

282282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83.

The product of its digits is 1024, while the sum is 24.

The square root of 282282 is about 531.3021739086. The cubic root of 282282 is about 65.5985734867.

The spelling of 282282 in words is "two hundred eighty-two thousand, two hundred eighty-two".