820309967 has 2 divisors, whose sum is σ = 820309968. Its totient is φ = 820309966.

The previous prime is 820309961. The next prime is 820310033. The reversal of 820309967 is 769903028.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 820309967 - 2⁴ = 820309951 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820309961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410154983 + 410154984.

It is an arithmetic number, because the mean of its divisors is an integer number (410154984).

Almost surely, 2^820309967 is an apocalyptic number.

820309967 is a deficient number, since it is larger than the sum of its proper divisors (1).

820309967 is an equidigital number, since it uses as much as digits as its factorization.

820309967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 163296, while the sum is 44.

The square root of 820309967 is about 28641.0538737666. The cubic root of 820309967 is about 936.1080848806.

The spelling of 820309967 in words is "eight hundred twenty million, three hundred nine thousand, nine hundred sixty-seven".