83288 has 16 divisors (see below), whose sum is σ = 162000. Its totient is φ = 40096.

The previous prime is 83273. The next prime is 83299. The reversal of 83288 is 88238.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 83288.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83288.

It is an unprimeable number.

83288 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, 53 + ... + 411.

It is an arithmetic number, because the mean of its divisors is an integer number (10125).

2⁸³²⁸⁸ is an apocalyptic number.

It is an amenable number.

83288 is a deficient number, since it is larger than the sum of its proper divisors (78712).

83288 is a wasteful number, since it uses less digits than its factorization.

83288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 390 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 83288 is about 288.5966042766. The cubic root of 83288 is about 43.6711013373.

Subtracting 83288 from its reverse (88238), we obtain a triangular number (4950 = T₉₉).

The spelling of 83288 in words is "eighty-three thousand, two hundred eighty-eight".