67108729 has 2 divisors, whose sum is σ = 67108730. Its totient is φ = 67108728.

The previous prime is 67108721. The next prime is 67108739. The reversal of 67108729 is 92780176.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58553104 + 8555625 = 7652^2 + 2925^2 .

It is a cyclic number.

It is not a de Polignac number, because 67108729 - 2³ = 67108721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 67108691 and 67108700.

It is not a weakly prime, because it can be changed into another prime (67108721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33554364 + 33554365.

It is an arithmetic number, because the mean of its divisors is an integer number (33554365).

Almost surely, 2^67108729 is an apocalyptic number.

It is an amenable number.

67108729 is a deficient number, since it is larger than the sum of its proper divisors (1).

67108729 is an equidigital number, since it uses as much as digits as its factorization.

67108729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 67108729 is about 8191.9917602498. The cubic root of 67108729 is about 406.3743968082.

The spelling of 67108729 in words is "sixty-seven million, one hundred eight thousand, seven hundred twenty-nine".