165116116 has 36 divisors (see below), whose sum is σ = 320975284. Its totient is φ = 74257920.

The previous prime is 165116101. The next prime is 165116117. The reversal of 165116116 is 611611561.

165116116 is digitally balanced in base 3, 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 2 ways, for example, as 124411716 + 40704400 = 11154^2 + 6380^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165116117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45190 + ... + 48706.

Almost surely, 2^165116116 is an apocalyptic number.

It is an amenable number.

165116116 is a deficient number, since it is larger than the sum of its proper divisors (155859168).

165116116 is a wasteful number, since it uses less digits than its factorization.

165116116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640 (or 3627 counting only the distinct ones).

The product of its digits is 1080, while the sum is 28.

The square root of 165116116 is about 12849.7515929297. The cubic root of 165116116 is about 548.6092864472.

Adding to 165116116 its reverse (611611561), we get a palindrome (776727677).

It can be divided in two parts, 165 and 116116, that added together give a square (116281 = 341²).

The spelling of 165116116 in words is "one hundred sixty-five million, one hundred sixteen thousand, one hundred sixteen".