133833 has 8 divisors (see below), whose sum is σ = 203968. Its totient is φ = 76464.

The previous prime is 133831. The next prime is 133843. The reversal of 133833 is 338331.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 133833 - 2¹ = 133831 is a prime.

It is a super-2 number, since 2×133833² = 35822543778, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 6373 = 133833 / (1 + 3 + 3 + 8 + 3 + 3).

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (133831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3166 + ... + 3207.

It is an arithmetic number, because the mean of its divisors is an integer number (25496).

2¹³³⁸³³ is an apocalyptic number.

It is an amenable number.

133833 is a deficient number, since it is larger than the sum of its proper divisors (70135).

133833 is an equidigital number, since it uses as much as digits as its factorization.

133833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6383.

The product of its digits is 648, while the sum is 21.

The square root of 133833 is about 365.8319286230. The cubic root of 133833 is about 51.1510324876.

The spelling of 133833 in words is "one hundred thirty-three thousand, eight hundred thirty-three".