8024729 has 2 divisors, whose sum is σ = 8024730. Its totient is φ = 8024728.

The previous prime is 8024711. The next prime is 8024743. The reversal of 8024729 is 9274208.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6901129 + 1123600 = 2627^2 + 1060^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8024729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8024695 and 8024704.

It is not a weakly prime, because it can be changed into another prime (8024129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4012364 + 4012365.

It is an arithmetic number, because the mean of its divisors is an integer number (4012365).

Almost surely, 2^8024729 is an apocalyptic number.

It is an amenable number.

8024729 is a deficient number, since it is larger than the sum of its proper divisors (1).

8024729 is an equidigital number, since it uses as much as digits as its factorization.

8024729 is an odious number, because the sum of its binary digits is odd.

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

The square root of 8024729 is about 2832.7952626337. The cubic root of 8024729 is about 200.2058630294.

The spelling of 8024729 in words is "eight million, twenty-four thousand, seven hundred twenty-nine".