315288 has 48 divisors (see below), whose sum is σ = 889200. Its totient is φ = 100800.

The previous prime is 315281. The next prime is 315313. The reversal of 315288 is 882513.

It is a happy number.

315288 is a Rhonda number in base 10.

Its product of digits (1920) is a multiple of the sum of its prime factors (192).

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 315288.

It is not an unprimeable number, because it can be changed into a prime (315281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2013 + ... + 2163.

It is an arithmetic number, because the mean of its divisors is an integer number (18525).

2³¹⁵²⁸⁸ 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 315288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444600).

315288 is an abundant number, since it is smaller than the sum of its proper divisors (573912).

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

315288 is a wasteful number, since it uses less digits than its factorization.

315288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 185 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 315288 is about 561.5051201904. The cubic root of 315288 is about 68.0616511238.

It can be divided in two parts, 3152 and 88, that added together give a triangular number (3240 = T₈₀).

The spelling of 315288 in words is "three hundred fifteen thousand, two hundred eighty-eight".