6851 has 8 divisors (see below), whose sum is σ = 8064. Its totient is φ = 5760.

The previous prime is 6841. The next prime is 6857. The reversal of 6851 is 1586.

6851 is nontrivially palindromic in base 6.

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 6851 - 2¹⁰ = 5827 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6857) 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, 206 + ... + 236.

It is an arithmetic number, because the mean of its divisors is an integer number (1008).

2⁶⁸⁵¹ is an apocalyptic number.

6851 is a deficient number, since it is larger than the sum of its proper divisors (1213).

6851 is a wasteful number, since it uses less digits than its factorization.

6851 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61.

The product of its digits is 240, while the sum is 20.

The square root of 6851 is about 82.7707677867. The cubic root of 6851 is about 18.9926102380.

It can be divided in two parts, 685 and 1, that added together give a palindrome (686).

The spelling of 6851 in words is "six thousand, eight hundred fifty-one".