827312 has 20 divisors (see below), whose sum is σ = 1659120. Its totient is φ = 399168.

The previous prime is 827311. The next prime is 827327. The reversal of 827312 is 213728.

It is not an unprimeable number, because it can be changed into a prime (827311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 428 + ... + 1355.

It is an arithmetic number, because the mean of its divisors is an integer number (82956).

2⁸²⁷³¹² is an apocalyptic number.

It is an amenable number.

827312 is an abundant number, since it is smaller than the sum of its proper divisors (831808).

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

827312 is a wasteful number, since it uses less digits than its factorization.

827312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1814 counting only the distinct ones).

The product of its digits is 672, while the sum is 23.

The square root of 827312 is about 909.5669299177. The cubic root of 827312 is about 93.8764031237.

The spelling of 827312 in words is "eight hundred twenty-seven thousand, three hundred twelve".