165116 has 12 divisors (see below), whose sum is σ = 330288. Its totient is φ = 70752.

The previous prime is 165103. The next prime is 165133. The reversal of 165116 is 611561.

It is a happy number.

165116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

165116 is an admirable number.

It is a congruent number.

It is an unprimeable number.

165116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2921 + ... + 2976.

It is an arithmetic number, because the mean of its divisors is an integer number (27524).

2¹⁶⁵¹¹⁶ is an apocalyptic number.

It is an amenable number.

165116 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

165116 is a wasteful number, since it uses less digits than its factorization.

165116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5908 (or 5906 counting only the distinct ones).

The product of its digits is 180, while the sum is 20.

The square root of 165116 is about 406.3446812744. The cubic root of 165116 is about 54.8609157975.

Adding to 165116 its reverse (611561), we get a palindrome (776677).

The spelling of 165116 in words is "one hundred sixty-five thousand, one hundred sixteen".