6757 has 4 divisors (see below), whose sum is σ = 7020. Its totient is φ = 6496.

The previous prime is 6737. The next prime is 6761. The reversal of 6757 is 7576.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2401 + 4356 = 49^2 + 66^2 .

It is a de Polignac number, because none of the positive numbers 2^k-6757 is a prime.

It is a Duffinian number.

6757 is a lucky 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 (6737) 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 3 ways as a sum of consecutive naturals, for example, 88 + ... + 145.

It is an arithmetic number, because the mean of its divisors is an integer number (1755).

2⁶⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

6757 is a deficient number, since it is larger than the sum of its proper divisors (263).

6757 is a wasteful number, since it uses less digits than its factorization.

6757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262.

The product of its digits is 1470, while the sum is 25.

The square root of 6757 is about 82.2009732302. The cubic root of 6757 is about 18.9053464154.

The spelling of 6757 in words is "six thousand, seven hundred fifty-seven".