8077129 has 2 divisors, whose sum is σ = 8077130. Its totient is φ = 8077128.

The previous prime is 8077079. The next prime is 8077133. The reversal of 8077129 is 9217708.

8077129 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7551504 + 525625 = 2748^2 + 725^2 .

It is a cyclic number.

It is not a de Polignac number, because 8077129 - 2⁷ = 8077001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8077094 and 8077103.

It is not a weakly prime, because it can be changed into another prime (8077169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4038564 + 4038565.

It is an arithmetic number, because the mean of its divisors is an integer number (4038565).

Almost surely, 2^8077129 is an apocalyptic number.

It is an amenable number.

8077129 is a deficient number, since it is larger than the sum of its proper divisors (1).

8077129 is an equidigital number, since it uses as much as digits as its factorization.

8077129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056, while the sum is 34.

The square root of 8077129 is about 2842.0290287047. The cubic root of 8077129 is about 200.6406870754.

The spelling of 8077129 in words is "eight million, seventy-seven thousand, one hundred twenty-nine".