829108229 has 2 divisors, whose sum is σ = 829108230. Its totient is φ = 829108228.

The previous prime is 829108211. The next prime is 829108243. The reversal of 829108229 is 922801928.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 793943329 + 35164900 = 28177^2 + 5930^2 .

It is a cyclic number.

It is not a de Polignac number, because 829108229 - 2⁸ = 829107973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (829108249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414554114 + 414554115.

It is an arithmetic number, because the mean of its divisors is an integer number (414554115).

Almost surely, 2^829108229 is an apocalyptic number.

It is an amenable number.

829108229 is a deficient number, since it is larger than the sum of its proper divisors (1).

829108229 is an equidigital number, since it uses as much as digits as its factorization.

829108229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 829108229 is about 28794.2395107077. The cubic root of 829108229 is about 939.4429432973.

The spelling of 829108229 in words is "eight hundred twenty-nine million, one hundred eight thousand, two hundred twenty-nine".