8122729 has 2 divisors, whose sum is σ = 8122730. Its totient is φ = 8122728.

The previous prime is 8122693. The next prime is 8122733. The reversal of 8122729 is 9272218.

8122729 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., 5475600 + 2647129 = 2340^2 + 1627^2 .

It is a cyclic number.

It is not a de Polignac number, because 8122729 - 2⁷ = 8122601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8122729.

It is not a weakly prime, because it can be changed into another prime (8122739) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4061364 + 4061365.

It is an arithmetic number, because the mean of its divisors is an integer number (4061365).

Almost surely, 2^8122729 is an apocalyptic number.

It is an amenable number.

8122729 is a deficient number, since it is larger than the sum of its proper divisors (1).

8122729 is an equidigital number, since it uses as much as digits as its factorization.

8122729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4032, while the sum is 31.

The square root of 8122729 is about 2850.0401751554. The cubic root of 8122729 is about 201.0175557878.

The spelling of 8122729 in words is "eight million, one hundred twenty-two thousand, seven hundred twenty-nine".