282500 has 30 divisors (see below), whose sum is σ = 623238. Its totient is φ = 112000.

The previous prime is 282493. The next prime is 282559. The reversal of 282500 is 5282.

It is a happy number.

282500 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 5 ways, for example, as 200704 + 81796 = 448^2 + 286^2 .

It is an unprimeable number.

282500 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2444 + ... + 2556.

2²⁸²⁵⁰⁰ is an apocalyptic number.

282500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311619).

282500 is an abundant number, since it is smaller than the sum of its proper divisors (340738).

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

282500 is a wasteful number, since it uses less digits than its factorization.

282500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 282500 is about 531.5072906367. The cubic root of 282500 is about 65.6154559061.

Adding to 282500 its reverse (5282), we get a palindrome (287782).

The spelling of 282500 in words is "two hundred eighty-two thousand, five hundred".