810312 has 32 divisors (see below), whose sum is σ = 2133600. Its totient is φ = 255744.

The previous prime is 810307. The next prime is 810319. The reversal of 810312 is 213018.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 810291 and 810300.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 810312.

It is not an unprimeable number, because it can be changed into a prime (810319) by changing a digit.

810312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 433 + ... + 1344.

It is an arithmetic number, because the mean of its divisors is an integer number (66675).

2⁸¹⁰³¹² is an apocalyptic number.

It is an amenable number.

810312 is an abundant number, since it is smaller than the sum of its proper divisors (1323288).

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

810312 is a wasteful number, since it uses less digits than its factorization.

810312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 810312 is about 900.1733166452. The cubic root of 810312 is about 93.2289422415.

The spelling of 810312 in words is "eight hundred ten thousand, three hundred twelve".