282132 has 36 divisors (see below), whose sum is σ = 756756. Its totient is φ = 88320.

The previous prime is 282127. The next prime is 282143. The reversal of 282132 is 231282.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 156816 + 125316 = 396^2 + 354^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 2⁴ + 8⁶ + 1 + 2⁵ + 3⁹ + 2⁸ .

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 282132.

It is an unprimeable number.

282132 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 382 + ... + 842.

It is an arithmetic number, because the mean of its divisors is an integer number (21021).

2²⁸²¹³² 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 282132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378378).

282132 is an abundant number, since it is smaller than the sum of its proper divisors (474624).

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

282132 is a wasteful number, since it uses less digits than its factorization.

282132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 483 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 282132 is about 531.1609925437. The cubic root of 282132 is about 65.5869520946.

It can be divided in two parts, 282 and 132, that added together give a palindrome (414).

The spelling of 282132 in words is "two hundred eighty-two thousand, one hundred thirty-two".