313306 has 24 divisors (see below), whose sum is σ = 574560. Its totient is φ = 127512.

The previous prime is 313301. The next prime is 313307. The reversal of 313306 is 603313.

It is a self number, because there is not a number n which added to its sum of digits gives 313306.

It is not an unprimeable number, because it can be changed into a prime (313301) 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, 2185 + ... + 2323.

It is an arithmetic number, because the mean of its divisors is an integer number (23940).

2³¹³³⁰⁶ is an apocalyptic number.

313306 is a deficient number, since it is larger than the sum of its proper divisors (261254).

313306 is a wasteful number, since it uses less digits than its factorization.

313306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 313306 is about 559.7374384477. The cubic root of 313306 is about 67.9187322108.

Adding to 313306 its reverse (603313), we get a palindrome (916619).

The spelling of 313306 in words is "three hundred thirteen thousand, three hundred six".