806312 has 16 divisors (see below), whose sum is σ = 1628340. Its totient is φ = 372096.

The previous prime is 806297. The next prime is 806317. The reversal of 806312 is 213608.

It can be written as a sum of positive squares in 2 ways, for example, as 784996 + 21316 = 886^2 + 146^2 .

It is not an unprimeable number, because it can be changed into a prime (806317) by changing a digit.

806312 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 3 ways as a sum of consecutive naturals, for example, 3773 + ... + 3980.

2⁸⁰⁶³¹² is an apocalyptic number.

It is an amenable number.

806312 is an abundant number, since it is smaller than the sum of its proper divisors (822028).

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

806312 is a wasteful number, since it uses less digits than its factorization.

806312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7772 (or 7768 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 806312 is about 897.9487735946. The cubic root of 806312 is about 93.0752849366.

Subtracting from 806312 its reverse (213608), we obtain a cube (592704 = 84³).

The spelling of 806312 in words is "eight hundred six thousand, three hundred twelve".