282912 has 48 divisors (see below), whose sum is σ = 850752. Its totient is φ = 80640.

The previous prime is 282911. The next prime is 282913. The reversal of 282912 is 219282.

It is an interprime number because it is at equal distance from previous prime (282911) and next prime (282913).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 282912.

It is not an unprimeable number, because it can be changed into a prime (282911) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 462 + ... + 882.

It is an arithmetic number, because the mean of its divisors is an integer number (17724).

2²⁸²⁹¹² 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 282912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425376).

282912 is an abundant number, since it is smaller than the sum of its proper divisors (567840).

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

282912 is a wasteful number, since it uses less digits than its factorization.

282912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 433 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 282912 is about 531.8947264262. The cubic root of 282912 is about 65.6473384270.

The spelling of 282912 in words is "two hundred eighty-two thousand, nine hundred twelve".