82306 has 8 divisors (see below), whose sum is σ = 141120. Its totient is φ = 35268.

The previous prime is 82301. The next prime is 82307. The reversal of 82306 is 60328.

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

It is not an unprimeable number, because it can be changed into a prime (82301) by changing a digit.

82306 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2926 + ... + 2953.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2⁸²³⁰⁶ is an apocalyptic number.

82306 is a deficient number, since it is larger than the sum of its proper divisors (58814).

82306 is a wasteful number, since it uses less digits than its factorization.

82306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5888.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 82306 is about 286.8902229076. The cubic root of 82306 is about 43.4987888860.

The spelling of 82306 in words is "eighty-two thousand, three hundred six".