820727027 has 2 divisors, whose sum is σ = 820727028. Its totient is φ = 820727026.

The previous prime is 820726987. The next prime is 820727041. The reversal of 820727027 is 720727028.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 820727027 - 2²⁰ = 819678451 is a prime.

It is a Chen prime.

It is equal to p_42156953 and since 820727027 and 42156953 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 (820727087) 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, 410363513 + 410363514.

It is an arithmetic number, because the mean of its divisors is an integer number (410363514).

Almost surely, 2^820727027 is an apocalyptic number.

820727027 is a deficient number, since it is larger than the sum of its proper divisors (1).

820727027 is an equidigital number, since it uses as much as digits as its factorization.

820727027 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21952, while the sum is 35.

The square root of 820727027 is about 28648.3337560843. Note that the first 3 decimals coincide. The cubic root of 820727027 is about 936.2667026015.

Subtracting from 820727027 its reverse (720727028), we obtain a palindrome (99999999).

The spelling of 820727027 in words is "eight hundred twenty million, seven hundred twenty-seven thousand, twenty-seven".