6771 has 8 divisors (see below), whose sum is σ = 9424. Its totient is φ = 4320.

The previous prime is 6763. The next prime is 6779. The reversal of 6771 is 1776.

It is an interprime number because it is at equal distance from previous prime (6763) and next prime (6779).

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

It is not a de Polignac number, because 6771 - 2³ = 6763 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6779) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81 + ... + 141.

It is an arithmetic number, because the mean of its divisors is an integer number (1178).

6771 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

6771 is a deficient number, since it is larger than the sum of its proper divisors (2653).

6771 is a wasteful number, since it uses less digits than its factorization.

6771 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101.

The product of its digits is 294, while the sum is 21.

The square root of 6771 is about 82.2860863087. The cubic root of 6771 is about 18.9183942307.

It can be divided in two parts, 6 and 771, that added together give a palindrome (777).

The spelling of 6771 in words is "six thousand, seven hundred seventy-one".