10385129 has 2 divisors, whose sum is σ = 10385130. Its totient is φ = 10385128.

The previous prime is 10385117. The next prime is 10385131. The reversal of 10385129 is 92158301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8065600 + 2319529 = 2840^2 + 1523^2 .

It is a cyclic number.

It is not a de Polignac number, because 10385129 - 2¹⁶ = 10319593 is a prime.

Together with 10385131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10385149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5192564 + 5192565.

It is an arithmetic number, because the mean of its divisors is an integer number (5192565).

Almost surely, 2^10385129 is an apocalyptic number.

It is an amenable number.

10385129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10385129 is an equidigital number, since it uses as much as digits as its factorization.

10385129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 10385129 is about 3222.5966238423. The cubic root of 10385129 is about 218.1744878587.

The spelling of 10385129 in words is "ten million, three hundred eighty-five thousand, one hundred twenty-nine".