165113 has 6 divisors (see below), whose sum is σ = 178974. Its totient is φ = 152256.

The previous prime is 165103. The next prime is 165133. The reversal of 165113 is 311561.

165113 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 3 ways, for example, as 11449 + 153664 = 107^2 + 392^2 .

It is not a de Polignac number, because 165113 - 2⁶ = 165049 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 165091 and 165100.

It is not an unprimeable number, because it can be changed into a prime (165103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 320 + ... + 657.

It is an arithmetic number, because the mean of its divisors is an integer number (29829).

2¹⁶⁵¹¹³ is an apocalyptic number.

165113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

165113 is a deficient number, since it is larger than the sum of its proper divisors (13861).

165113 is an equidigital number, since it uses as much as digits as its factorization.

165113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 990 counting only the distinct ones).

The product of its digits is 90, while the sum is 17.

The square root of 165113 is about 406.3409898103. The cubic root of 165113 is about 54.8605835386.

Adding to 165113 its reverse (311561), we get a palindrome (476674).

The spelling of 165113 in words is "one hundred sixty-five thousand, one hundred thirteen".