282113000 has 64 divisors (see below), whose sum is σ = 710957520. Its totient is φ = 104160000.

The previous prime is 282112997. The next prime is 282113017. The reversal of 282113000 is 311282.

It can be written as a sum of positive squares in 8 ways, for example, as 11115556 + 270997444 = 3334^2 + 16462^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 282113000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2150 + ... + 23850.

Almost surely, 2^282113000 is an apocalyptic number.

282113000 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 282113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355478760).

282113000 is an abundant number, since it is smaller than the sum of its proper divisors (428844520).

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

282113000 is a wasteful number, since it uses less digits than its factorization.

282113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21735 (or 21721 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 282113000 is about 16796.2198128031. The cubic root of 282113000 is about 655.8547975770.

Adding to 282113000 its reverse (311282), we get a palindrome (282424282).

The spelling of 282113000 in words is "two hundred eighty-two million, one hundred thirteen thousand".