10007429 has 2 divisors, whose sum is σ = 10007430. Its totient is φ = 10007428.

The previous prime is 10007423. The next prime is 10007443. The reversal of 10007429 is 92470001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8862529 + 1144900 = 2977^2 + 1070^2 .

It is a cyclic number.

It is not a de Polignac number, because 10007429 - 2²⁰ = 8958853 is a prime.

It is a super-3 number, since 3×10007429³ (a number of 22 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is equal to p₆₆₅₀₄₂ and since 10007429 and 665042 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10007423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5003714 + 5003715.

It is an arithmetic number, because the mean of its divisors is an integer number (5003715).

Almost surely, 2^10007429 is an apocalyptic number.

It is an amenable number.

10007429 is a deficient number, since it is larger than the sum of its proper divisors (1).

10007429 is an equidigital number, since it uses as much as digits as its factorization.

10007429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 10007429 is about 3163.4520701285. The cubic root of 10007429 is about 215.4968067815.

The spelling of 10007429 in words is "ten million, seven thousand, four hundred twenty-nine".