9705 has 8 divisors (see below), whose sum is σ = 15552. Its totient is φ = 5168.

The previous prime is 9697. The next prime is 9719. The reversal of 9705 is 5079.

9705 is nontrivially palindromic in base 2 and base 14.

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

It is a cyclic number.

It is not a de Polignac number, because 9705 - 2³ = 9697 is a prime.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 9705.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 309 + ... + 338.

It is an arithmetic number, because the mean of its divisors is an integer number (1944).

2⁹⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

9705 is a deficient number, since it is larger than the sum of its proper divisors (5847).

9705 is a wasteful number, since it uses less digits than its factorization.

9705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655.

The product of its (nonzero) digits is 315, while the sum is 21.

The square root of 9705 is about 98.5139584018. The cubic root of 9705 is about 21.3303761092.

The spelling of 9705 in words is "nine thousand, seven hundred five".