633282 has 32 divisors (see below), whose sum is σ = 1427328. Its totient is φ = 185856.

The previous prime is 633271. The next prime is 633287. The reversal of 633282 is 282336.

It is a d-powerful number, because it can be written as 6⁶ + 3⁶ + 2¹¹ + 3¹⁰ + 8³ + 2¹⁹ .

It is not an unprimeable number, because it can be changed into a prime (633287) by changing a digit.

633282 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 15 ways as a sum of consecutive naturals, for example, 1618 + ... + 1970.

It is an arithmetic number, because the mean of its divisors is an integer number (44604).

2⁶³³²⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 633282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713664).

633282 is an abundant number, since it is smaller than the sum of its proper divisors (794046).

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

633282 is a wasteful number, since it uses less digits than its factorization.

633282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394.

The product of its digits is 1728, while the sum is 24.

The square root of 633282 is about 795.7901733497. The cubic root of 633282 is about 85.8747952721.

The spelling of 633282 in words is "six hundred thirty-three thousand, two hundred eighty-two".