9965 has 4 divisors (see below), whose sum is σ = 11964. Its totient is φ = 7968.

The previous prime is 9949. The next prime is 9967. The reversal of 9965 is 5699.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 5699 = 41 ⋅139.

It can be written as a sum of positive squares in 2 ways, for example, as 5476 + 4489 = 74^2 + 67^2 .

It is a cyclic number.

It is not a de Polignac number, because 9965 - 2⁴ = 9949 is a prime.

It is a Duffinian number.

It is a plaindrome in base 8 and base 14.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9967) 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, 992 + ... + 1001.

It is an arithmetic number, because the mean of its divisors is an integer number (2991).

2⁹⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

9965 is a deficient number, since it is larger than the sum of its proper divisors (1999).

9965 is a wasteful number, since it uses less digits than its factorization.

9965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998.

The product of its digits is 2430, while the sum is 29.

The square root of 9965 is about 99.8248466064. The cubic root of 9965 is about 21.5191824475.

It can be divided in two parts, 996 and 5, that added together give a palindrome (1001).

The spelling of 9965 in words is "nine thousand, nine hundred sixty-five".