165801 has 8 divisors (see below), whose sum is σ = 234144. Its totient is φ = 104000.

The previous prime is 165799. The next prime is 165811. The reversal of 165801 is 108561.

165801 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 a cyclic number.

It is not a de Polignac number, because 165801 - 2¹ = 165799 is a prime.

It is a Curzon number.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 165801.

It is not an unprimeable number, because it can be changed into a prime (165811) 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, 1575 + ... + 1676.

It is an arithmetic number, because the mean of its divisors is an integer number (29268).

2¹⁶⁵⁸⁰¹ is an apocalyptic number.

It is an amenable number.

165801 is a deficient number, since it is larger than the sum of its proper divisors (68343).

165801 is a wasteful number, since it uses less digits than its factorization.

165801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271.

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 165801 is about 407.1866893699. The cubic root of 165801 is about 54.9366764325.

Subtracting from 165801 its product of nonzero digits (240), we obtain a palindrome (165561).

The spelling of 165801 in words is "one hundred sixty-five thousand, eight hundred one".