10117829 has 2 divisors, whose sum is σ = 10117830. Its totient is φ = 10117828.

The previous prime is 10117817. The next prime is 10117837. The reversal of 10117829 is 92871101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8673025 + 1444804 = 2945^2 + 1202^2 .

It is a cyclic number.

It is not a de Polignac number, because 10117829 - 2¹⁶ = 10052293 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10117889) 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, 5058914 + 5058915.

It is an arithmetic number, because the mean of its divisors is an integer number (5058915).

Almost surely, 2^10117829 is an apocalyptic number.

It is an amenable number.

10117829 is a deficient number, since it is larger than the sum of its proper divisors (1).

10117829 is an equidigital number, since it uses as much as digits as its factorization.

10117829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 29.

The square root of 10117829 is about 3180.8535018136. The cubic root of 10117829 is about 216.2863500435.

The spelling of 10117829 in words is "ten million, one hundred seventeen thousand, eight hundred twenty-nine".