8305 has 8 divisors (see below), whose sum is σ = 10944. Its totient is φ = 6000.

The previous prime is 8297. The next prime is 8311. The reversal of 8305 is 5038.

8305 is nontrivially palindromic in base 7.

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

It is not a de Polignac number, because 8305 - 2³ = 8297 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a plaindrome in base 9.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 21 + ... + 130.

It is an arithmetic number, because the mean of its divisors is an integer number (1368).

2⁸³⁰⁵ is an apocalyptic number.

It is an amenable number.

8305 is a deficient number, since it is larger than the sum of its proper divisors (2639).

8305 is a wasteful number, since it uses less digits than its factorization.

8305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 8305 is about 91.1317727250. The cubic root of 8305 is about 20.2510033542.

It can be divided in two parts, 8 and 305, that added together give a palindrome (313).

The spelling of 8305 in words is "eight thousand, three hundred five".