82289 has 8 divisors (see below), whose sum is σ = 89280. Its totient is φ = 75600.

The previous prime is 82279. The next prime is 82301. The reversal of 82289 is 98228.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82289 - 2¹² = 78193 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82219) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1124 + ... + 1194.

It is an arithmetic number, because the mean of its divisors is an integer number (11160).

2⁸²²⁸⁹ is an apocalyptic number.

It is an amenable number.

82289 is a deficient number, since it is larger than the sum of its proper divisors (6991).

82289 is a wasteful number, since it uses less digits than its factorization.

82289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151.

The product of its digits is 2304, while the sum is 29.

The square root of 82289 is about 286.8605933202. The cubic root of 82289 is about 43.4957938418.

The spelling of 82289 in words is "eighty-two thousand, two hundred eighty-nine".