168385 has 16 divisors (see below), whose sum is σ = 245376. Its totient is φ = 108288.

The previous prime is 168353. The next prime is 168391. The reversal of 168385 is 583861.

It is a cyclic number.

It is not a de Polignac number, because 168385 - 2⁵ = 168353 is a prime.

It is a Duffinian number.

168385 is a lucky number.

It is a zygodrome in base 3.

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 15 ways as a sum of consecutive naturals, for example, 454 + ... + 736.

It is an arithmetic number, because the mean of its divisors is an integer number (15336).

2¹⁶⁸³⁸⁵ is an apocalyptic number.

It is an amenable number.

168385 is a deficient number, since it is larger than the sum of its proper divisors (76991).

168385 is a wasteful number, since it uses less digits than its factorization.

168385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312.

The product of its digits is 5760, while the sum is 31.

The square root of 168385 is about 410.3474137850. The cubic root of 168385 is about 55.2206016009.

It can be divided in two parts, 1 and 68385, that added together give a palindrome (68386).

The spelling of 168385 in words is "one hundred sixty-eight thousand, three hundred eighty-five".