9709 has 8 divisors (see below), whose sum is σ = 11840. Its totient is φ = 7776.

The previous prime is 9697. The next prime is 9719. The reversal of 9709 is 9079.

9709 = T₂₂ + T₂₃ + ... + T₄₀.

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

It is a 5-Lehmer number, since φ(9709) divides (9709-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 9709 - 2⁵ = 9677 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13 and base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 9709.

It is not an unprimeable number, because it can be changed into a prime (9719) 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, 97 + ... + 169.

It is an arithmetic number, because the mean of its divisors is an integer number (1480).

2⁹⁷⁰⁹ is an apocalyptic number.

It is an amenable number.

9709 is a deficient number, since it is larger than the sum of its proper divisors (2131).

9709 is a wasteful number, since it uses less digits than its factorization.

9709 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99.

The product of its (nonzero) digits is 567, while the sum is 25.

The square root of 9709 is about 98.5342580020. The cubic root of 9709 is about 21.3333062066. Note that the first 4 decimals are identical.

Subtracting from 9709 its reverse (9079), we obtain a triangular number (630 = T₃₅).

It can be divided in two parts, 970 and 9, that added together give a palindrome (979).

The spelling of 9709 in words is "nine thousand, seven hundred nine".