312525 has 24 divisors (see below), whose sum is σ = 575360. Its totient is φ = 166320.

The previous prime is 312517. The next prime is 312527. The reversal of 312525 is 525213.

It is a happy number.

It is not a de Polignac number, because 312525 - 2³ = 312517 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312498 and 312507.

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 312525.

It is not an unprimeable number, because it can be changed into a prime (312527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444 + ... + 906.

2³¹²⁵²⁵ is an apocalyptic number.

It is an amenable number.

312525 is a deficient number, since it is larger than the sum of its proper divisors (262835).

312525 is a wasteful number, since it uses less digits than its factorization.

312525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 471 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 312525 is about 559.0393546075. The cubic root of 312525 is about 67.8622499784.

Adding to 312525 its reverse (525213), we get a palindrome (837738).

It can be divided in two parts, 3125 and 25, that multiplied together give a 7-th power (78125 = 5⁷).

The spelling of 312525 in words is "three hundred twelve thousand, five hundred twenty-five".