100833 has 16 divisors (see below), whose sum is σ = 148800. Its totient is φ = 60480.

The previous prime is 100829. The next prime is 100847. The reversal of 100833 is 338001.

It is not a de Polignac number, because 100833 - 2² = 100829 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1623 + ... + 1683.

It is an arithmetic number, because the mean of its divisors is an integer number (9300).

2¹⁰⁰⁸³³ is an apocalyptic number.

It is an amenable number.

100833 is a deficient number, since it is larger than the sum of its proper divisors (47967).

100833 is a wasteful number, since it uses less digits than its factorization.

100833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112.

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

The square root of 100833 is about 317.5421231900. The cubic root of 100833 is about 46.5444135722.

Adding to 100833 its reverse (338001), we get a palindrome (438834).

The spelling of 100833 in words is "one hundred thousand, eight hundred thirty-three".