10712729 has 2 divisors, whose sum is σ = 10712730. Its totient is φ = 10712728.

The previous prime is 10712717. The next prime is 10712743. The reversal of 10712729 is 92721701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8065600 + 2647129 = 2840^2 + 1627^2 .

It is a cyclic number.

It is not a de Polignac number, because 10712729 - 2⁸ = 10712473 is a prime.

It is a super-2 number, since 2×10712729² = 229525125254882, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10712749) 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, 5356364 + 5356365.

It is an arithmetic number, because the mean of its divisors is an integer number (5356365).

Almost surely, 2^10712729 is an apocalyptic number.

It is an amenable number.

10712729 is a deficient number, since it is larger than the sum of its proper divisors (1).

10712729 is an equidigital number, since it uses as much as digits as its factorization.

10712729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764, while the sum is 29.

The square root of 10712729 is about 3273.0305528669. The cubic root of 10712729 is about 220.4448917289. Note that the first 3 decimals are identical.

The spelling of 10712729 in words is "ten million, seven hundred twelve thousand, seven hundred twenty-nine".