10005829 has 2 divisors, whose sum is σ = 10005830. Its totient is φ = 10005828.

The previous prime is 10005823. The next prime is 10005833. The reversal of 10005829 is 92850001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9443329 + 562500 = 3073^2 + 750^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10005829 is a prime.

It is a super-2 number, since 2×10005829² = 200233227954482, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10005823) 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, 5002914 + 5002915.

It is an arithmetic number, because the mean of its divisors is an integer number (5002915).

Almost surely, 2^10005829 is an apocalyptic number.

It is an amenable number.

10005829 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005829 is an equidigital number, since it uses as much as digits as its factorization.

10005829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 10005829 is about 3163.1991717247. The cubic root of 10005829 is about 215.4853215383.

The spelling of 10005829 in words is "ten million, five thousand, eight hundred twenty-nine".