313396209 has 45 divisors (see below), whose sum is σ = 546538971. Its totient is φ = 178446240.

The previous prime is 313396177. The next prime is 313396217. The reversal of 313396209 is 902693313.

It is a happy number.

The square root of 313396209 is 17703.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 211789809 + 101606400 = 14553^2 + 10080^2 .

It is not a de Polignac number, because 313396209 - 2⁵ = 313396177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313396219) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1115149 + ... + 1115429.

Almost surely, 2^313396209 is an apocalyptic number.

313396209 is the 17703-rd square number.

313396209 is the 8852-nd centered octagonal number.

It is an amenable number.

313396209 is a deficient number, since it is larger than the sum of its proper divisors (233142762).

313396209 is an frugal number, since it uses more digits than its factorization.

313396209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The cubic root of 313396209 is about 679.2525011234.

Multiplying 313396209 by its sum of digits (36), we get a square (11282263524 = 106218²).

Multiplying 313396209 by its product of nonzero digits (26244), we get a square (8224770108996 = 2867886²).

The spelling of 313396209 in words is "three hundred thirteen million, three hundred ninety-six thousand, two hundred nine".