827322 has 16 divisors (see below), whose sum is σ = 1752192. Its totient is φ = 259520.

The previous prime is 827311. The next prime is 827327. The reversal of 827322 is 223728.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 827292 and 827301.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 827322.

It is not an unprimeable number, because it can be changed into a prime (827327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3954 + ... + 4157.

It is an arithmetic number, because the mean of its divisors is an integer number (109512).

2⁸²⁷³²² is an apocalyptic number.

827322 is an abundant number, since it is smaller than the sum of its proper divisors (924870).

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

827322 is a wasteful number, since it uses less digits than its factorization.

827322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8133.

The product of its digits is 1344, while the sum is 24.

The square root of 827322 is about 909.5724270227. The cubic root of 827322 is about 93.8767813608.

The spelling of 827322 in words is "eight hundred twenty-seven thousand, three hundred twenty-two".