820713791 has 2 divisors, whose sum is σ = 820713792. Its totient is φ = 820713790.

The previous prime is 820713749. The next prime is 820713847. The reversal of 820713791 is 197317028.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 820713791 - 2²⁶ = 753604927 is a prime.

It is a super-2 number, since 2×820713791² = 1347142253475183362, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820713731) 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, 410356895 + 410356896.

It is an arithmetic number, because the mean of its divisors is an integer number (410356896).

Almost surely, 2^820713791 is an apocalyptic number.

820713791 is a deficient number, since it is larger than the sum of its proper divisors (1).

820713791 is an equidigital number, since it uses as much as digits as its factorization.

820713791 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 38.

The square root of 820713791 is about 28648.1027469534. The cubic root of 820713791 is about 936.2616694654.

The spelling of 820713791 in words is "eight hundred twenty million, seven hundred thirteen thousand, seven hundred ninety-one".