33282 has 18 divisors (see below), whose sum is σ = 73827. Its totient is φ = 10836.

The previous prime is 33247. The next prime is 33287. The reversal of 33282 is 28233.

It can be written as a sum of positive squares in only one way, i.e., 16641 + 16641 = 129^2 + 129^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=129.

It is a super-2 number, since 2×33282² = 2215383048, which contains 22 as substring.

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

Its product of digits (288) is a multiple of the sum of its prime divisors (48).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33282.

It is not an unprimeable number, because it can be changed into a prime (33287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 753 + ... + 795.

2³³²⁸² is an apocalyptic number.

33282 is an abundant number, since it is smaller than the sum of its proper divisors (40545).

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

33282 is a wasteful number, since it uses less digits than its factorization.

33282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 48 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 33282 is about 182.4335495461. The cubic root of 33282 is about 32.1664504029.

Multiplying 33282 by its sum of digits (18), we get a square (599076 = 774²).

33282 divided by its sum of digits (18) gives a square (1849 = 43²).

Multiplying 33282 by its product of digits (288), we get a square (9585216 = 3096²).

It can be divided in two parts, 332 and 82, that added together give a palindrome (414).

The spelling of 33282 in words is "thirty-three thousand, two hundred eighty-two".