315306 has 16 divisors (see below), whose sum is σ = 700800. Its totient is φ = 105084.

The previous prime is 315281. The next prime is 315313. The reversal of 315306 is 603513.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

315306 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 2866 + ... + 2973.

It is an arithmetic number, because the mean of its divisors is an integer number (43800).

2³¹⁵³⁰⁶ is an apocalyptic number.

315306 is an abundant number, since it is smaller than the sum of its proper divisors (385494).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

315306 is a wasteful number, since it uses less digits than its factorization.

315306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5850 (or 5844 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 315306 is about 561.5211483106. The cubic root of 315306 is about 68.0629463274.

Adding to 315306 its reverse (603513), we get a palindrome (918819).

The spelling of 315306 in words is "three hundred fifteen thousand, three hundred six".