820077151 has 2 divisors, whose sum is σ = 820077152. Its totient is φ = 820077150.

The previous prime is 820077149. The next prime is 820077157. The reversal of 820077151 is 151770028.

It is a happy number.

820077151 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 820077151 - 2¹ = 820077149 is a prime.

Together with 820077149, 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 (820077157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410038575 + 410038576.

It is an arithmetic number, because the mean of its divisors is an integer number (410038576).

Almost surely, 2^820077151 is an apocalyptic number.

820077151 is a deficient number, since it is larger than the sum of its proper divisors (1).

820077151 is an equidigital number, since it uses as much as digits as its factorization.

820077151 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3920, while the sum is 31.

The square root of 820077151 is about 28636.9892097616. The cubic root of 820077151 is about 936.0195160996.

The spelling of 820077151 in words is "eight hundred twenty million, seventy-seven thousand, one hundred fifty-one".