165333 has 8 divisors (see below), whose sum is σ = 251968. Its totient is φ = 94464.

The previous prime is 165331. The next prime is 165343. The reversal of 165333 is 333561.

165333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 165333 - 2¹ = 165331 is a prime.

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: 7873 = 165333 / (1 + 6 + 5 + 3 + 3 + 3).

It is a Duffinian number.

165333 is a modest number, since divided by 333 gives 165 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3916 + ... + 3957.

It is an arithmetic number, because the mean of its divisors is an integer number (31496).

2¹⁶⁵³³³ is an apocalyptic number.

It is an amenable number.

165333 is a deficient number, since it is larger than the sum of its proper divisors (86635).

165333 is an equidigital number, since it uses as much as digits as its factorization.

165333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7883.

The product of its digits is 810, while the sum is 21.

The square root of 165333 is about 406.6116082947. The cubic root of 165333 is about 54.8849385195.

Adding to 165333 its reverse (333561), we get a palindrome (498894).

It can be divided in two parts, 165 and 333, that multiplied together give a palindrome (54945).

The spelling of 165333 in words is "one hundred sixty-five thousand, three hundred thirty-three".