106833 has 8 divisors (see below), whose sum is σ = 144000. Its totient is φ = 70448.

The previous prime is 106823. The next prime is 106853. The reversal of 106833 is 338601.

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 106833 - 2⁵ = 106801 is a prime.

It is a super-2 number, since 2×106833² = 22826579778, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106833.

It is not an unprimeable number, because it can be changed into a prime (106823) 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, 328 + ... + 566.

It is an arithmetic number, because the mean of its divisors is an integer number (18000).

2¹⁰⁶⁸³³ is an apocalyptic number.

It is an amenable number.

106833 is a deficient number, since it is larger than the sum of its proper divisors (37167).

106833 is a wasteful number, since it uses less digits than its factorization.

106833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 106833 is about 326.8531780479. The cubic root of 106833 is about 47.4498825041.

It can be divided in two parts, 106 and 833, that added together give a palindrome (939).

The spelling of 106833 in words is "one hundred six thousand, eight hundred thirty-three".