33284 has 12 divisors (see below), whose sum is σ = 59724. Its totient is φ = 16224.

The previous prime is 33247. The next prime is 33287. The reversal of 33284 is 48233.

33284 = T₁₂₇ + T₁₂₈ + ... + T₁₃₀.

It can be written as a sum of positive squares in 2 ways, for example, as 16900 + 16384 = 130^2 + 128^2 .

It is a super-2 number, since 2×33284² = 2215649312, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3² + 3⁵ + 2¹⁵ + 8 + 4⁴ .

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33284.

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 3 ways as a sum of consecutive naturals, for example, 134 + ... + 290.

It is an arithmetic number, because the mean of its divisors is an integer number (4977).

2³³²⁸⁴ is an apocalyptic number.

It is an amenable number.

33284 is a deficient number, since it is larger than the sum of its proper divisors (26440).

33284 is a wasteful number, since it uses less digits than its factorization.

33284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 212 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 33284 is about 182.4390309117. The cubic root of 33284 is about 32.1670947112.

The spelling of 33284 in words is "thirty-three thousand, two hundred eighty-four".