282632 has 32 divisors (see below), whose sum is σ = 624000. Its totient is φ = 119952.

The previous prime is 282617. The next prime is 282661. The reversal of 282632 is 236282.

282632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 14.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 282598 and 282607.

It is an unprimeable number.

282632 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 7 ways as a sum of consecutive naturals, for example, 2693 + ... + 2795.

It is an arithmetic number, because the mean of its divisors is an integer number (19500).

2²⁸²⁶³² 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 282632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312000).

282632 is an abundant number, since it is smaller than the sum of its proper divisors (341368).

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

282632 is a wasteful number, since it uses less digits than its factorization.

282632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 112 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 282632 is about 531.6314512893. The cubic root of 282632 is about 65.6256740672.

The spelling of 282632 in words is "two hundred eighty-two thousand, six hundred thirty-two".