315249 has 16 divisors (see below), whose sum is σ = 471744. Its totient is φ = 185600.

The previous prime is 315247. The next prime is 315251. The reversal of 315249 is 942513.

It is an interprime number because it is at equal distance from previous prime (315247) and next prime (315251).

It is a cyclic number.

It is not a de Polignac number, because 315249 - 2¹ = 315247 is a prime.

It is not an unprimeable number, because it can be changed into a prime (315247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1237 + ... + 1469.

It is an arithmetic number, because the mean of its divisors is an integer number (29484).

2³¹⁵²⁴⁹ is an apocalyptic number.

It is an amenable number.

315249 is a deficient number, since it is larger than the sum of its proper divisors (156495).

315249 is a wasteful number, since it uses less digits than its factorization.

315249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288.

The product of its digits is 1080, while the sum is 24.

The square root of 315249 is about 561.4703910270. The cubic root of 315249 is about 68.0588446804.

Subtracting 315249 from its reverse (942513), we obtain a square (627264 = 792²).

The spelling of 315249 in words is "three hundred fifteen thousand, two hundred forty-nine".