315297 has 12 divisors (see below), whose sum is σ = 464724. Its totient is φ = 205920.

The previous prime is 315281. The next prime is 315313. The reversal of 315297 is 792513.

It is an interprime number because it is at equal distance from previous prime (315281) and next prime (315313).

It can be written as a sum of positive squares in 2 ways, for example, as 239121 + 76176 = 489^2 + 276^2 .

It is not a de Polignac number, because 315297 - 2⁴ = 315281 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

315297 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 315297.

It is not an unprimeable number, because it can be changed into a prime (315247) 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, 147 + ... + 807.

It is an arithmetic number, because the mean of its divisors is an integer number (38727).

2³¹⁵²⁹⁷ is an apocalyptic number.

It is an amenable number.

315297 is a deficient number, since it is larger than the sum of its proper divisors (149427).

315297 is a wasteful number, since it uses less digits than its factorization.

315297 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 717 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 315297 is about 561.5131343076. The cubic root of 315297 is about 68.0622987318.

It can be divided in two parts, 3152 and 97, that added together give a square (3249 = 57²).

The spelling of 315297 in words is "three hundred fifteen thousand, two hundred ninety-seven".