10709 has 2 divisors, whose sum is σ = 10710. Its totient is φ = 10708.

The previous prime is 10691. The next prime is 10711. The reversal of 10709 is 90701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10609 + 100 = 103^2 + 10^2 .

It is a cyclic number.

It is not a de Polignac number, because 10709 - 2⁸ = 10453 is a prime.

It is a super-2 number, since 2×10709² = 229365362, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 10711, it forms a pair of twin primes.

It is a Chen prime.

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

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5354 + 5355.

It is an arithmetic number, because the mean of its divisors is an integer number (5355).

2¹⁰⁷⁰⁹ is an apocalyptic number.

It is an amenable number.

10709 is a deficient number, since it is larger than the sum of its proper divisors (1).

10709 is an equidigital number, since it uses as much as digits as its factorization.

10709 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63, while the sum is 17.

The square root of 10709 is about 103.4842983259. The cubic root of 10709 is about 22.0419310497.

The spelling of 10709 in words is "ten thousand, seven hundred nine".