209313 has 12 divisors (see below), whose sum is σ = 325780. Its totient is φ = 128736.

The previous prime is 209311. The next prime is 209317. The reversal of 209313 is 313902.

It can be written as a sum of positive squares in 2 ways, for example, as 121104 + 88209 = 348^2 + 297^2 .

It is not a de Polignac number, because 209313 - 2¹ = 209311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (209311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 778 + ... + 1011.

2²⁰⁹³¹³ is an apocalyptic number.

It is an amenable number.

209313 is a deficient number, since it is larger than the sum of its proper divisors (116467).

209313 is a wasteful number, since it uses less digits than its factorization.

209313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 209313 is about 457.5073769897. The cubic root of 209313 is about 59.3743316638.

The spelling of 209313 in words is "two hundred nine thousand, three hundred thirteen".