6747 has 8 divisors (see below), whose sum is σ = 9744. Its totient is φ = 4128.

The previous prime is 6737. The next prime is 6761. The reversal of 6747 is 7476.

6747 is nontrivially palindromic in base 12.

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

It is not a de Polignac number, because 6747 - 2^{7} = 6619 is a prime.

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

6747 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (6737) 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, 48 + ... + 125.

It is an arithmetic number, because the mean of its divisors is an integer number (1218).

2^{6747} is an apocalyptic number.

6747 is a deficient number, since it is larger than the sum of its proper divisors (2997).

6747 is a wasteful number, since it uses less digits than its factorization.

6747 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189.

The product of its digits is 1176, while the sum is 24.

The square root of 6747 is about 82.1401241781. The cubic root of 6747 is about 18.8960155090.

Subtracting 6747 from its reverse (7476), we obtain a 6-th power (729 = 3^{6}).

The spelling of 6747 in words is "six thousand, seven hundred forty-seven".

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