165768 has 16 divisors (see below), whose sum is σ = 414480. Its totient is φ = 55248.

The previous prime is 165749. The next prime is 165779. The reversal of 165768 is 867561.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 165768.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3430 + ... + 3477.

It is an arithmetic number, because the mean of its divisors is an integer number (25905).

2¹⁶⁵⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

165768 is an abundant number, since it is smaller than the sum of its proper divisors (248712).

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

165768 is a wasteful number, since it uses less digits than its factorization.

165768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6916 (or 6912 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 165768 is about 407.1461654001. The cubic root of 165768 is about 54.9330314392.

The spelling of 165768 in words is "one hundred sixty-five thousand, seven hundred sixty-eight".