316125 has 24 divisors (see below), whose sum is σ = 571896. Its totient is φ = 168000.

The previous prime is 316109. The next prime is 316133. The reversal of 316125 is 521613.

It can be written as a sum of positive squares in 4 ways, for example, as 4761 + 311364 = 69^2 + 558^2 .

It is not a de Polignac number, because 316125 - 2⁴ = 316109 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 316098 and 316107.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 316125.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 985 + ... + 1265.

It is an arithmetic number, because the mean of its divisors is an integer number (23829).

2³¹⁶¹²⁵ is an apocalyptic number.

It is an amenable number.

316125 is a deficient number, since it is larger than the sum of its proper divisors (255771).

316125 is a wasteful number, since it uses less digits than its factorization.

316125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 289 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 316125 is about 562.2499444197. The cubic root of 316125 is about 68.1218260172.

Adding to 316125 its reverse (521613), we get a palindrome (837738).

It can be divided in two parts, 316 and 125, that added together give a square (441 = 21²).

The spelling of 316125 in words is "three hundred sixteen thousand, one hundred twenty-five".