313209 has 12 divisors (see below), whose sum is σ = 487396. Its totient is φ = 192672.

The previous prime is 313207. The next prime is 313211. The reversal of 313209 is 902313.

313209 = 97² + 98² + ... + 122².

It is an interprime number because it is at equal distance from previous prime (313207) and next prime (313211).

It can be written as a sum of positive squares in 2 ways, for example, as 21609 + 291600 = 147^2 + 540^2 .

It is not a de Polignac number, because 313209 - 2¹ = 313207 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313191 and 313200.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313209.

It is not an unprimeable number, because it can be changed into a prime (313207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1222 + ... + 1455.

2³¹³²⁰⁹ is an apocalyptic number.

313209 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

313209 is a deficient number, since it is larger than the sum of its proper divisors (174187).

313209 is a wasteful number, since it uses less digits than its factorization.

313209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696 (or 2693 counting only the distinct ones).

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

The square root of 313209 is about 559.6507839716. The cubic root of 313209 is about 67.9117222407.

It can be divided in two parts, 31320 and 9, that added together give a square (31329 = 177²).

The spelling of 313209 in words is "three hundred thirteen thousand, two hundred nine".