312513 has 8 divisors (see below), whose sum is σ = 422688. Its totient is φ = 205344.

The previous prime is 312509. The next prime is 312517. The reversal of 312513 is 315213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (312509) and next prime (312517).

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

It is not a de Polignac number, because 312513 - 2² = 312509 is a prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 312492 and 312501.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312513.

It is not an unprimeable number, because it can be changed into a prime (312517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 495 + ... + 932.

It is an arithmetic number, because the mean of its divisors is an integer number (52836).

2³¹²⁵¹³ is an apocalyptic number.

It is an amenable number.

312513 is a deficient number, since it is larger than the sum of its proper divisors (110175).

312513 is a wasteful number, since it uses less digits than its factorization.

312513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503.

The product of its digits is 90, while the sum is 15.

The square root of 312513 is about 559.0286218075. The cubic root of 312513 is about 67.8613813999.

Adding to 312513 its reverse (315213), we get a palindrome (627726).

The spelling of 312513 in words is "three hundred twelve thousand, five hundred thirteen".