81833 has 8 divisors (see below), whose sum is σ = 88800. Its totient is φ = 75168.

The previous prime is 81817. The next prime is 81839. The reversal of 81833 is 33818.

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 81833 - 2⁴ = 81817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 81799 and 81808.

It is not an unprimeable number, because it can be changed into a prime (81839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1085 + ... + 1157.

It is an arithmetic number, because the mean of its divisors is an integer number (11100).

2⁸¹⁸³³ is an apocalyptic number.

It is an amenable number.

81833 is a deficient number, since it is larger than the sum of its proper divisors (6967).

81833 is a wasteful number, since it uses less digits than its factorization.

81833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151.

The product of its digits is 576, while the sum is 23.

The square root of 81833 is about 286.0646780013. The cubic root of 81833 is about 43.4153017886.

Subtracting from 81833 its sum of digits (23), we obtain a triangular number (81810 = T₄₀₄).

The spelling of 81833 in words is "eighty-one thousand, eight hundred thirty-three".