165114 has 12 divisors (see below), whose sum is σ = 357786. Its totient is φ = 55032.

The previous prime is 165103. The next prime is 165133. The reversal of 165114 is 411561.

165114 is a `hidden beast` number, since 1 + 651 + 14 = 666.

165114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 164025 + 1089 = 405^2 + 33^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 9173 = 165114 / (1 + 6 + 5 + 1 + 1 + 4).

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 165114.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4569 + ... + 4604.

2¹⁶⁵¹¹⁴ is an apocalyptic number.

165114 is an abundant number, since it is smaller than the sum of its proper divisors (192672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165114 is a wasteful number, since it uses less digits than its factorization.

165114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9181 (or 9178 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 165114 is about 406.3422203021. The cubic root of 165114 is about 54.8606942920.

Adding to 165114 its reverse (411561), we get a palindrome (576675).

The spelling of 165114 in words is "one hundred sixty-five thousand, one hundred fourteen".