315315 has 72 divisors (see below), whose sum is σ = 746928. Its totient is φ = 120960.

The previous prime is 315313. The next prime is 315349. The reversal of 315315 is 513513.

Added to its reverse (513513) it gives a triangular number (828828 = T₁₂₈₇).

It is a happy number.

It is not a de Polignac number, because 315315 - 2¹ = 315313 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (315313) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24249 + ... + 24261.

It is an arithmetic number, because the mean of its divisors is an integer number (10374).

2³¹⁵³¹⁵ is an apocalyptic number.

315315 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

315315 is an abundant number, since it is smaller than the sum of its proper divisors (431613).

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

315315 is a wasteful number, since it uses less digits than its factorization.

315315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 39 counting only the distinct ones).

The product of its digits is 225, while the sum is 18.

The square root of 315315 is about 561.5291621991. The cubic root of 315315 is about 68.0635939107.

Adding to 315315 its reverse (513513), we get a palindrome (828828).

It can be divided in two parts, 315 and 315, that added together give a triangular number (630 = T₃₅).

The spelling of 315315 in words is "three hundred fifteen thousand, three hundred fifteen".