312325 has 18 divisors (see below), whose sum is σ = 430962. Its totient is φ = 223200.

The previous prime is 312313. The next prime is 312331. The reversal of 312325 is 523213.

It can be written as a sum of positive squares in 3 ways, for example, as 961 + 311364 = 31^2 + 558^2 .

It is not a de Polignac number, because 312325 - 2⁷ = 312197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312299 and 312308.

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 312325.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10060 + ... + 10090.

312325 is a Friedman number, since it can be written as 325*31^2, using all its digits and the basic arithmetic operations.

2³¹²³²⁵ is an apocalyptic number.

It is an amenable number.

312325 is a deficient number, since it is larger than the sum of its proper divisors (118637).

312325 is a wasteful number, since it uses less digits than its factorization.

312325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 49 counting only the distinct ones).

The product of its digits is 180, while the sum is 16.

The square root of 312325 is about 558.8604476969. The cubic root of 312325 is about 67.8477707674.

Adding to 312325 its reverse (523213), we get a palindrome (835538).

The spelling of 312325 in words is "three hundred twelve thousand, three hundred twenty-five".