812313 has 12 divisors (see below), whose sum is σ = 1201200. Its totient is φ = 528696.

The previous prime is 812309. The next prime is 812341. The reversal of 812313 is 313218.

It is not a de Polignac number, because 812313 - 2² = 812309 is a prime.

It is a Curzon number.

812313 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (812353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 663 + ... + 1436.

It is an arithmetic number, because the mean of its divisors is an integer number (100100).

2⁸¹²³¹³ is an apocalyptic number.

It is an amenable number.

812313 is a deficient number, since it is larger than the sum of its proper divisors (388887).

812313 is a wasteful number, since it uses less digits than its factorization.

812313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2145 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 812313 is about 901.2840839602. The cubic root of 812313 is about 93.3056196062.

It can be divided in two parts, 8 and 12313, that added together give a palindrome (12321).

The spelling of 812313 in words is "eight hundred twelve thousand, three hundred thirteen".