821313083 has 2 divisors, whose sum is σ = 821313084. Its totient is φ = 821313082.

The previous prime is 821313079. The next prime is 821313121. The reversal of 821313083 is 380313128.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 821313083 - 2² = 821313079 is a prime.

It is a Chen prime.

It is equal to p_42185531 and since 821313083 and 42185531 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (821318083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410656541 + 410656542.

It is an arithmetic number, because the mean of its divisors is an integer number (410656542).

Almost surely, 2^821313083 is an apocalyptic number.

821313083 is a deficient number, since it is larger than the sum of its proper divisors (1).

821313083 is an equidigital number, since it uses as much as digits as its factorization.

821313083 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 29.

The square root of 821313083 is about 28658.5603790560. The cubic root of 821313083 is about 936.4895026914.

The spelling of 821313083 in words is "eight hundred twenty-one million, three hundred thirteen thousand, eighty-three".