313512 has 16 divisors (see below), whose sum is σ = 783840. Its totient is φ = 104496.

The previous prime is 313507. The next prime is 313517. The reversal of 313512 is 215313.

It is a happy number.

313512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (313507) and next prime (313517).

It is a junction number, because it is equal to n+sod(n) for n = 313491 and 313500.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313512.

It is not an unprimeable number, because it can be changed into a prime (313517) 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 3 ways as a sum of consecutive naturals, for example, 6508 + ... + 6555.

It is an arithmetic number, because the mean of its divisors is an integer number (48990).

2³¹³⁵¹² is an apocalyptic number.

It is an amenable number.

313512 is an abundant number, since it is smaller than the sum of its proper divisors (470328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313512 is a wasteful number, since it uses less digits than its factorization.

313512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13072 (or 13068 counting only the distinct ones).

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

The square root of 313512 is about 559.9214230586. The cubic root of 313512 is about 67.9336145660.

Adding to 313512 its reverse (215313), we get a palindrome (528825).

The spelling of 313512 in words is "three hundred thirteen thousand, five hundred twelve".