10406729 has 2 divisors, whose sum is σ = 10406730. Its totient is φ = 10406728.

The previous prime is 10406723. The next prime is 10406779. The reversal of 10406729 is 92760401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9314704 + 1092025 = 3052^2 + 1045^2 .

It is a cyclic number.

It is not a de Polignac number, because 10406729 - 2¹⁶ = 10341193 is a prime.

It is not a weakly prime, because it can be changed into another prime (10406723) 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, 5203364 + 5203365.

It is an arithmetic number, because the mean of its divisors is an integer number (5203365).

Almost surely, 2^10406729 is an apocalyptic number.

It is an amenable number.

10406729 is a deficient number, since it is larger than the sum of its proper divisors (1).

10406729 is an equidigital number, since it uses as much as digits as its factorization.

10406729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 10406729 is about 3225.9462177786. The cubic root of 10406729 is about 218.3256432749.

The spelling of 10406729 in words is "ten million, four hundred six thousand, seven hundred twenty-nine".