8042729 has 2 divisors, whose sum is σ = 8042730. Its totient is φ = 8042728.

The previous prime is 8042711. The next prime is 8042737. The reversal of 8042729 is 9272408.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7573504 + 469225 = 2752^2 + 685^2 .

It is a cyclic number.

It is not a de Polignac number, because 8042729 - 2⁸ = 8042473 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 8042695 and 8042704.

It is not a weakly prime, because it can be changed into another prime (8042779) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4021364 + 4021365.

It is an arithmetic number, because the mean of its divisors is an integer number (4021365).

Almost surely, 2^8042729 is an apocalyptic number.

It is an amenable number.

8042729 is a deficient number, since it is larger than the sum of its proper divisors (1).

8042729 is an equidigital number, since it uses as much as digits as its factorization.

8042729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 8042729 is about 2835.9705569699. The cubic root of 8042729 is about 200.3554429274.

The spelling of 8042729 in words is "eight million, forty-two thousand, seven hundred twenty-nine".