315104 has 24 divisors (see below), whose sum is σ = 637560. Its totient is φ = 153216.

The previous prime is 315103. The next prime is 315109. The reversal of 315104 is 401513.

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 315104.

It is not an unprimeable number, because it can be changed into a prime (315103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1262 + ... + 1490.

It is an arithmetic number, because the mean of its divisors is an integer number (26565).

2³¹⁵¹⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318780).

315104 is an abundant number, since it is smaller than the sum of its proper divisors (322456).

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

315104 is a wasteful number, since it uses less digits than its factorization.

315104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 315104 is about 561.3412509339. The cubic root of 315104 is about 68.0484084370.

Adding to 315104 its reverse (401513), we get a palindrome (716617).

The spelling of 315104 in words is "three hundred fifteen thousand, one hundred four".