6741 has 12 divisors (see below), whose sum is σ = 11232. Its totient is φ = 3816.

The previous prime is 6737. The next prime is 6761. The reversal of 6741 is 1476.

It is not a de Polignac number, because 6741 - 2² = 6737 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

6741 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6701) 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 11 ways as a sum of consecutive naturals, for example, 10 + ... + 116.

It is an arithmetic number, because the mean of its divisors is an integer number (936).

2⁶⁷⁴¹ is an apocalyptic number.

It is an amenable number.

6741 is a deficient number, since it is larger than the sum of its proper divisors (4491).

6741 is a wasteful number, since it uses less digits than its factorization.

6741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 117 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 6741 is about 82.1035931004. The cubic root of 6741 is about 18.8904125389.

It can be divided in two parts, 6 and 741, that added together give a palindrome (747).

The spelling of 6741 in words is "six thousand, seven hundred forty-one".