820322 has 16 divisors (see below), whose sum is σ = 1292544. Its totient is φ = 390000.

The previous prime is 820321. The next prime is 820331. The reversal of 820322 is 223028.

820322 = 44² + 45² + ... + 136².

It is a self number, because there is not a number n which added to its sum of digits gives 820322.

It is not an unprimeable number, because it can be changed into a prime (820321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6197 + ... + 6327.

It is an arithmetic number, because the mean of its divisors is an integer number (80784).

2⁸²⁰³²² is an apocalyptic number.

820322 is a deficient number, since it is larger than the sum of its proper divisors (472222).

820322 is a wasteful number, since it uses less digits than its factorization.

820322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 820322 is about 905.7162911199. The cubic root of 820322 is about 93.6112662066.

The spelling of 820322 in words is "eight hundred twenty thousand, three hundred twenty-two".