83306 has 8 divisors (see below), whose sum is σ = 130464. Its totient is φ = 39820.

The previous prime is 83299. The next prime is 83311. The reversal of 83306 is 60338.

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

It is a super-3 number, since 3×83306³ = 1734403338049848, which contains 333 as substring.

It is a Curzon number.

It is a plaindrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 860 + ... + 951.

It is an arithmetic number, because the mean of its divisors is an integer number (16308).

2⁸³³⁰⁶ is an apocalyptic number.

83306 is a deficient number, since it is larger than the sum of its proper divisors (47158).

83306 is a wasteful number, since it uses less digits than its factorization.

83306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 83306 is about 288.6277879900. The cubic root of 83306 is about 43.6742471414.

Adding to 83306 its product of nonzero digits (432), we get a palindrome (83738).

The spelling of 83306 in words is "eighty-three thousand, three hundred six".