313205 has 8 divisors (see below), whose sum is σ = 386232. Its totient is φ = 243648.

The previous prime is 313163. The next prime is 313207. The reversal of 313205 is 502313.

It can be written as a sum of positive squares in 4 ways, for example, as 69169 + 244036 = 263^2 + 494^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 313205 - 2¹² = 309109 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 313205.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313205.

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 7 ways as a sum of consecutive naturals, for example, 662 + ... + 1031.

It is an arithmetic number, because the mean of its divisors is an integer number (48279).

2³¹³²⁰⁵ is an apocalyptic number.

It is an amenable number.

313205 is a deficient number, since it is larger than the sum of its proper divisors (73027).

313205 is a wasteful number, since it uses less digits than its factorization.

313205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735.

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 313205 is about 559.6472103031. The cubic root of 313205 is about 67.9114331387.

Adding to 313205 its reverse (502313), we get a palindrome (815518).

The spelling of 313205 in words is "three hundred thirteen thousand, two hundred five".