8333 has 4 divisors (see below), whose sum is σ = 8988. Its totient is φ = 7680.

The previous prime is 8329. The next prime is 8353. The reversal of 8333 is 3338.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 3338 = 2 ⋅1669.

It can be written as a sum of positive squares in 2 ways, for example, as 4489 + 3844 = 67^2 + 62^2 .

It is a cyclic number.

It is not a de Polignac number, because 8333 - 2² = 8329 is a prime.

It is a Duffinian number.

8333 is a modest number, since divided by 333 gives 8 as remainder.

It is a plaindrome in base 9.

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 (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 3 ways as a sum of consecutive naturals, for example, 308 + ... + 333.

It is an arithmetic number, because the mean of its divisors is an integer number (2247).

2⁸³³³ is an apocalyptic number.

It is an amenable number.

8333 is a deficient number, since it is larger than the sum of its proper divisors (655).

8333 is a wasteful number, since it uses less digits than its factorization.

8333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654.

The product of its digits is 216, while the sum is 17.

The square root of 8333 is about 91.2852671574. The cubic root of 8333 is about 20.2737363282.

The spelling of 8333 in words is "eight thousand, three hundred thirty-three".