820367 has 2 divisors, whose sum is σ = 820368. Its totient is φ = 820366.

The previous prime is 820361. The next prime is 820399. The reversal of 820367 is 763028.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 820367 - 2¹² = 816271 is a prime.

It is a plaindrome in base 12.

It is a zygodrome in base 3.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 820367.

It is not a weakly prime, because it can be changed into another prime (820361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410183 + 410184.

It is an arithmetic number, because the mean of its divisors is an integer number (410184).

2⁸²⁰³⁶⁷ is an apocalyptic number.

820367 is a deficient number, since it is larger than the sum of its proper divisors (1).

820367 is an equidigital number, since it uses as much as digits as its factorization.

820367 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 820367 is about 905.7411329955. The cubic root of 820367 is about 93.6129779044.

The spelling of 820367 in words is "eight hundred twenty thousand, three hundred sixty-seven".