315993 has 4 divisors (see below), whose sum is σ = 421328. Its totient is φ = 210660.

The previous prime is 315977. The next prime is 316003. The reversal of 315993 is 399513.

315993 is nontrivially palindromic in base 2.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 315993 - 2⁴ = 315977 is a prime.

It is a D-number.

It is a Duffinian number.

It is a Curzon number.

315993 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 315993.

It is not an unprimeable number, because it can be changed into a prime (315193) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52663 + ... + 52668.

It is an arithmetic number, because the mean of its divisors is an integer number (105332).

2³¹⁵⁹⁹³ is an apocalyptic number.

It is an amenable number.

315993 is a deficient number, since it is larger than the sum of its proper divisors (105335).

315993 is a wasteful number, since it uses less digits than its factorization.

315993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105334.

The product of its digits is 3645, while the sum is 30.

The square root of 315993 is about 562.1325466471. The cubic root of 315993 is about 68.1123431302.

The spelling of 315993 in words is "three hundred fifteen thousand, nine hundred ninety-three".