8993 has 6 divisors (see below), whose sum is σ = 9954. Its totient is φ = 8096.

The previous prime is 8971. The next prime is 8999. The reversal of 8993 is 3998.

8993 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 8464 + 529 = 92^2 + 23^2 .

It is not a de Polignac number, because 8993 - 2⁶ = 8929 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8993.

It is not an unprimeable number, because it can be changed into a prime (8999) 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 5 ways as a sum of consecutive naturals, for example, 380 + ... + 402.

It is an arithmetic number, because the mean of its divisors is an integer number (1659).

2⁸⁹⁹³ is an apocalyptic number.

It is an amenable number.

8993 is a deficient number, since it is larger than the sum of its proper divisors (961).

8993 is a wasteful number, since it uses less digits than its factorization.

8993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 40 counting only the distinct ones).

The product of its digits is 1944, while the sum is 29.

The square root of 8993 is about 94.8314293892. The cubic root of 8993 is about 20.7954440219.

It can be divided in two parts, 8 and 993, that added together give a palindrome (1001).

The spelling of 8993 in words is "eight thousand, nine hundred ninety-three".