823300813 has 2 divisors, whose sum is σ = 823300814. Its totient is φ = 823300812.

The previous prime is 823300811. The next prime is 823300823. The reversal of 823300813 is 318003328.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 622851849 + 200448964 = 24957^2 + 14158^2 .

It is a cyclic number.

It is not a de Polignac number, because 823300813 - 2¹ = 823300811 is a prime.

Together with 823300811, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (823300811) 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 as a sum of consecutive naturals, namely, 411650406 + 411650407.

It is an arithmetic number, because the mean of its divisors is an integer number (411650407).

Almost surely, 2^823300813 is an apocalyptic number.

It is an amenable number.

823300813 is a deficient number, since it is larger than the sum of its proper divisors (1).

823300813 is an equidigital number, since it uses as much as digits as its factorization.

823300813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 823300813 is about 28693.2189375818. The cubic root of 823300813 is about 937.2443867983.

The spelling of 823300813 in words is "eight hundred twenty-three million, three hundred thousand, eight hundred thirteen".