6845 has 6 divisors (see below), whose sum is σ = 8442. Its totient is φ = 5328.

The previous prime is 6841. The next prime is 6857. The reversal of 6845 is 5486.

6845 = 58² + 59².

It can be written as a sum of positive squares in 3 ways, for example, as 3364 + 3481 = 58^2 + 59^2 .

It is not a de Polignac number, because 6845 - 2² = 6841 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 14 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 6845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6841) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 167 + ... + 203.

It is an arithmetic number, because the mean of its divisors is an integer number (1407).

2⁶⁸⁴⁵ is an apocalyptic number.

6845 is the 59-th centered square number.

It is an amenable number.

6845 is a deficient number, since it is larger than the sum of its proper divisors (1597).

6845 is an equidigital number, since it uses as much as digits as its factorization.

6845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 42 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 6845 is about 82.7345151675. The cubic root of 6845 is about 18.9870641403.

Subtracting from 6845 its product of digits (960), we obtain a palindrome (5885).

The spelling of 6845 in words is "six thousand, eight hundred forty-five".