9913 has 4 divisors (see below), whose sum is σ = 10368. Its totient is φ = 9460.

The previous prime is 9907. The next prime is 9923. The reversal of 9913 is 3199.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 3199 = 7 ⋅457.

It is a cyclic number.

It is not a de Polignac number, because 9913 - 2¹³ = 1721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9923) 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, 193 + ... + 238.

It is an arithmetic number, because the mean of its divisors is an integer number (2592).

2⁹⁹¹³ is an apocalyptic number.

It is an amenable number.

9913 is a deficient number, since it is larger than the sum of its proper divisors (455).

9913 is a wasteful number, since it uses less digits than its factorization.

9913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454.

The product of its digits is 243, while the sum is 22.

The square root of 9913 is about 99.5640497368. The cubic root of 9913 is about 21.4816862255.

The spelling of 9913 in words is "nine thousand, nine hundred thirteen".