315393 has 8 divisors (see below), whose sum is σ = 452928. Its totient is φ = 194064.

The previous prime is 315389. The next prime is 315407. The reversal of 315393 is 393513.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 315393 - 2² = 315389 is a prime.

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

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4005 + ... + 4082.

It is an arithmetic number, because the mean of its divisors is an integer number (56616).

It is a Proth number, since it is equal to 77 ⋅ 2¹² + 1 and 77 < 2¹².

2³¹⁵³⁹³ is an apocalyptic number.

It is an amenable number.

315393 is a deficient number, since it is larger than the sum of its proper divisors (137535).

315393 is a wasteful number, since it uses less digits than its factorization.

315393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8103.

The product of its digits is 1215, while the sum is 24.

The square root of 315393 is about 561.5986111094. The cubic root of 315393 is about 68.0692057831.

The spelling of 315393 in words is "three hundred fifteen thousand, three hundred ninety-three".