10066829 has 2 divisors, whose sum is σ = 10066830. Its totient is φ = 10066828.

The previous prime is 10066807. The next prime is 10066841. The reversal of 10066829 is 92866001.

10066829 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9597604 + 469225 = 3098^2 + 685^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10066829 is a prime.

It is a super-2 number, since 2×10066829² = 202682092230482, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10066795 and 10066804.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10066229) 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 as a sum of consecutive naturals, namely, 5033414 + 5033415.

It is an arithmetic number, because the mean of its divisors is an integer number (5033415).

Almost surely, 2^10066829 is an apocalyptic number.

It is an amenable number.

10066829 is a deficient number, since it is larger than the sum of its proper divisors (1).

10066829 is an equidigital number, since it uses as much as digits as its factorization.

10066829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 10066829 is about 3172.8266577297. The cubic root of 10066829 is about 215.9223329019.

The spelling of 10066829 in words is "ten million, sixty-six thousand, eight hundred twenty-nine".