8393 has 8 divisors (see below), whose sum is σ = 10560. Its totient is φ = 6480.

The previous prime is 8389. The next prime is 8419. The reversal of 8393 is 3938.

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 8393 - 2² = 8389 is a prime.

It is a Curzon number.

It is a plaindrome in base 9.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23 + ... + 131.

It is an arithmetic number, because the mean of its divisors is an integer number (1320).

2⁸³⁹³ is an apocalyptic number.

It is an amenable number.

8393 is a deficient number, since it is larger than the sum of its proper divisors (2167).

8393 is a wasteful number, since it uses less digits than its factorization.

8393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127.

The product of its digits is 648, while the sum is 23.

The square root of 8393 is about 91.6133178091. The cubic root of 8393 is about 20.3222789206.

The spelling of 8393 in words is "eight thousand, three hundred ninety-three".