282492 has 72 divisors (see below), whose sum is σ = 873600. Its totient is φ = 75168.

The previous prime is 282487. The next prime is 282493. The reversal of 282492 is 294282.

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 282492.

It is not an unprimeable number, because it can be changed into a prime (282493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4759 + ... + 4817.

2²⁸²⁴⁹² is an apocalyptic number.

It is a pronic number, being equal to 531×532.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436800).

282492 is an abundant number, since it is smaller than the sum of its proper divisors (591108).

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

282492 is a wasteful number, since it uses less digits than its factorization.

282492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 90 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 282492 is about 531.4997648165. The cubic root of 282492 is about 65.6148365213.

It can be divided in two parts, 2824 and 92, that added together give a square (2916 = 54²).

The spelling of 282492 in words is "two hundred eighty-two thousand, four hundred ninety-two".