83284 has 12 divisors (see below), whose sum is σ = 149184. Its totient is φ = 40664.

The previous prime is 83273. The next prime is 83299. The reversal of 83284 is 48238.

83284 = 47² + 48² + ... + 70².

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

83284 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 3 ways as a sum of consecutive naturals, for example, 34 + ... + 409.

It is an arithmetic number, because the mean of its divisors is an integer number (12432).

2⁸³²⁸⁴ is an apocalyptic number.

It is an amenable number.

83284 is a deficient number, since it is larger than the sum of its proper divisors (65900).

83284 is a wasteful number, since it uses less digits than its factorization.

83284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 492 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 83284 is about 288.5896741049. The cubic root of 83284 is about 43.6704022081.

The spelling of 83284 in words is "eighty-three thousand, two hundred eighty-four".