209268 has 18 divisors (see below), whose sum is σ = 529074. Its totient is φ = 69744.

The previous prime is 209267. The next prime is 209269. The reversal of 209268 is 862902.

209268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (209267) and next prime (209269).

It can be written as a sum of positive squares in only one way, i.e., 191844 + 17424 = 438^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209263) 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, 2871 + ... + 2942.

It is an arithmetic number, because the mean of its divisors is an integer number (29393).

2²⁰⁹²⁶⁸ is an apocalyptic number.

It is an amenable number.

209268 is an abundant number, since it is smaller than the sum of its proper divisors (319806).

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

209268 is a wasteful number, since it uses less digits than its factorization.

209268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5823 (or 5818 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 209268 is about 457.4581948113. The cubic root of 209268 is about 59.3700764154.

The spelling of 209268 in words is "two hundred nine thousand, two hundred sixty-eight".