8193 has 4 divisors (see below), whose sum is σ = 10928. Its totient is φ = 5460.

The previous prime is 8191. The next prime is 8209. The reversal of 8193 is 3918.

8193 is nontrivially palindromic in base 2.

It is a Cunningham number, because it is equal to 2¹³+1.

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.

It is not a de Polignac number, because 8193 - 2¹ = 8191 is a prime.

It is a D-number.

It is a Duffinian number.

8193 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1363 + ... + 1368.

It is an arithmetic number, because the mean of its divisors is an integer number (2732).

It is a Proth number, since it is equal to 1 ⋅ 2¹³ + 1 and 1 < 2¹³.

2⁸¹⁹³ is an apocalyptic number.

It is an amenable number.

8193 is a deficient number, since it is larger than the sum of its proper divisors (2735).

8193 is a wasteful number, since it uses less digits than its factorization.

8193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734.

The product of its digits is 216, while the sum is 21.

The square root of 8193 is about 90.5151920950. The cubic root of 8193 is about 20.1595570260.

The spelling of 8193 in words is "eight thousand, one hundred ninety-three".