282564 has 36 divisors (see below), whose sum is σ = 733824. Its totient is φ = 91632.

The previous prime is 282563. The next prime is 282571. The reversal of 282564 is 465282.

It is a tau number, because it is divible by the number of its divisors (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 282564.

It is not an unprimeable number, because it can be changed into a prime (282563) 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, 1609 + ... + 1775.

It is an arithmetic number, because the mean of its divisors is an integer number (20384).

2²⁸²⁵⁶⁴ 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 282564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366912).

282564 is an abundant number, since it is smaller than the sum of its proper divisors (451260).

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

282564 is a wasteful number, since it uses less digits than its factorization.

282564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 219 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 282564 is about 531.5674933628. The cubic root of 282564 is about 65.6204105634.

The spelling of 282564 in words is "two hundred eighty-two thousand, five hundred sixty-four".