165368 has 16 divisors (see below), whose sum is σ = 354480. Its totient is φ = 70848.

The previous prime is 165367. The next prime is 165379. The reversal of 165368 is 863561.

165368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 165368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165367) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1421 + ... + 1532.

It is an arithmetic number, because the mean of its divisors is an integer number (22155).

2¹⁶⁵³⁶⁸ is an apocalyptic number.

It is an amenable number.

165368 is an abundant number, since it is smaller than the sum of its proper divisors (189112).

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

165368 is a wasteful number, since it uses less digits than its factorization.

165368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2962 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

The square root of 165368 is about 406.6546446310. The cubic root of 165368 is about 54.8888111832. Note that the first 4 decimals are identical.

The spelling of 165368 in words is "one hundred sixty-five thousand, three hundred sixty-eight".