168309 has 6 divisors (see below), whose sum is σ = 243126. Its totient is φ = 112200.

The previous prime is 168293. The next prime is 168323. The reversal of 168309 is 903861.

168309 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 only one way, i.e., 119025 + 49284 = 345^2 + 222^2 .

It is not a de Polignac number, because 168309 - 2⁴ = 168293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168109) 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, 9342 + ... + 9359.

It is an arithmetic number, because the mean of its divisors is an integer number (40521).

2¹⁶⁸³⁰⁹ is an apocalyptic number.

It is an amenable number.

168309 is a deficient number, since it is larger than the sum of its proper divisors (74817).

168309 is a wasteful number, since it uses less digits than its factorization.

168309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18707 (or 18704 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 168309 is about 410.2547988750. The cubic root of 168309 is about 55.2122924735.

The spelling of 168309 in words is "one hundred sixty-eight thousand, three hundred nine".