6709 has 2 divisors, whose sum is σ = 6710. Its totient is φ = 6708.

The previous prime is 6703. The next prime is 6719. The reversal of 6709 is 9076.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6084 + 625 = 78^2 + 25^2 .

It is a cyclic number.

It is not a de Polignac number, because 6709 - 2^{3} = 6701 is a prime.

It is a Chen prime.

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

It is a self number, because there is not a number *n* which added to its sum of digits gives 6709.

It is a congruent number.

It is not a weakly prime, because it can be changed into another 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 as a sum of consecutive naturals, namely, 3354 + 3355.

It is an arithmetic number, because the mean of its divisors is an integer number (3355).

2^{6709} is an apocalyptic number.

It is an amenable number.

6709 is a deficient number, since it is larger than the sum of its proper divisors (1).

6709 is an equidigital number, since it uses as much as digits as its factorization.

6709 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 6709 is about 81.9084855189. The cubic root of 6709 is about 18.8604737437.

The spelling of 6709 in words is "six thousand, seven hundred nine".

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