8133 has 4 divisors (see below), whose sum is σ = 10848. Its totient is φ = 5420.

The previous prime is 8123. The next prime is 8147. The reversal of 8133 is 3318.

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 a cyclic number.

It is not a de Polignac number, because 8133 - 2⁴ = 8117 is a prime.

It is a super-2 number, since 2×8133² = 132291378, which contains 22 as substring.

It is a D-number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8123) 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, 1353 + ... + 1358.

It is an arithmetic number, because the mean of its divisors is an integer number (2712).

2⁸¹³³ is an apocalyptic number.

It is an amenable number.

8133 is a deficient number, since it is larger than the sum of its proper divisors (2715).

8133 is a wasteful number, since it uses less digits than its factorization.

8133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714.

The product of its digits is 72, while the sum is 15.

The square root of 8133 is about 90.1831469843. The cubic root of 8133 is about 20.1102247427.

Subtracting from 8133 its sum of digits (15), we obtain a palindrome (8118).

It can be divided in two parts, 8 and 133, that added together give a palindrome (141).

The spelling of 8133 in words is "eight thousand, one hundred thirty-three".