9797 has 4 divisors (see below), whose sum is σ = 9996. Its totient is φ = 9600.

The previous prime is 9791. The next prime is 9803. The reversal of 9797 is 7979.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 7979 = 79 ⋅101.

It is an interprime number because it is at equal distance from previous prime (9791) and next prime (9803).

It can be written as a sum of positive squares in 2 ways, for example, as 7396 + 2401 = 86^2 + 49^2 .

It is a cyclic number.

It is not a de Polignac number, because 9797 - 2⁴ = 9781 is a prime.

It is a Duffinian number.

9797 is an undulating number in base 10.

It is a congruent 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 3 ways as a sum of consecutive naturals, for example, 47 + ... + 147.

It is an arithmetic number, because the mean of its divisors is an integer number (2499).

2⁹⁷⁹⁷ is an apocalyptic number.

9797 is a gapful number since it is divisible by the number (97) formed by its first and last digit.

It is an amenable number.

9797 is a deficient number, since it is larger than the sum of its proper divisors (199).

9797 is a wasteful number, since it uses less digits than its factorization.

9797 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198.

The product of its digits is 3969, while the sum is 32.

The square root of 9797 is about 98.9797959182. The cubic root of 9797 is about 21.3975657405.

The spelling of 9797 in words is "nine thousand, seven hundred ninety-seven".