9795 has 8 divisors (see below), whose sum is σ = 15696. Its totient is φ = 5216.

The previous prime is 9791. The next prime is 9803. The reversal of 9795 is 5979.

It is a happy number.

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 9795 - 2² = 9791 is a prime.

9795 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (9791) 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, 312 + ... + 341.

It is an arithmetic number, because the mean of its divisors is an integer number (1962).

2⁹⁷⁹⁵ is an apocalyptic number.

9795 is a deficient number, since it is larger than the sum of its proper divisors (5901).

9795 is a wasteful number, since it uses less digits than its factorization.

9795 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661.

The product of its digits is 2835, while the sum is 30.

The square root of 9795 is about 98.9696923305. The cubic root of 9795 is about 21.3961095790.

The spelling of 9795 in words is "nine thousand, seven hundred ninety-five".