10008007829 has 4 divisors (see below), whose sum is σ = 10008540384. Its totient is φ = 10007475276.

The previous prime is 10008007819. The next prime is 10008007837. The reversal of 10008007829 is 92870080001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 92870080001 = 3947 ⋅23529283.

It is a cyclic number.

It is not a de Polignac number, because 10008007829 - 2⁴ = 10008007813 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10008007819) 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 in 3 ways as a sum of consecutive naturals, for example, 237017 + ... + 276030.

It is an arithmetic number, because the mean of its divisors is an integer number (2502135096).

Almost surely, 2^10008007829 is an apocalyptic number.

It is an amenable number.

10008007829 is a deficient number, since it is larger than the sum of its proper divisors (532555).

10008007829 is an equidigital number, since it uses as much as digits as its factorization.

10008007829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532554.

The product of its (nonzero) digits is 8064, while the sum is 35.

The spelling of 10008007829 in words is "ten billion, eight million, seven thousand, eight hundred twenty-nine".