165833 has 2 divisors, whose sum is σ = 165834. Its totient is φ = 165832.

The previous prime is 165829. The next prime is 165857. The reversal of 165833 is 338561.

165833 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104329 + 61504 = 323^2 + 248^2 .

It is a cyclic number.

It is not a de Polignac number, because 165833 - 2² = 165829 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 165833.

It is not a weakly prime, because it can be changed into another prime (165883) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82916 + 82917.

It is an arithmetic number, because the mean of its divisors is an integer number (82917).

2¹⁶⁵⁸³³ is an apocalyptic number.

It is an amenable number.

165833 is a deficient number, since it is larger than the sum of its proper divisors (1).

165833 is an equidigital number, since it uses as much as digits as its factorization.

165833 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2160, while the sum is 26.

The square root of 165833 is about 407.2259814894. The cubic root of 165833 is about 54.9402105096.

The spelling of 165833 in words is "one hundred sixty-five thousand, eight hundred thirty-three".