209305829 has 2 divisors, whose sum is σ = 209305830. Its totient is φ = 209305828.

The previous prime is 209305807. The next prime is 209305841. The reversal of 209305829 is 928503902.

209305829 is digitally balanced in base 2, 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., 177608929 + 31696900 = 13327^2 + 5630^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-209305829 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 209305792 and 209305801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (209305879) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104652914 + 104652915.

It is an arithmetic number, because the mean of its divisors is an integer number (104652915).

Almost surely, 2^209305829 is an apocalyptic number.

It is an amenable number.

209305829 is a deficient number, since it is larger than the sum of its proper divisors (1).

209305829 is an equidigital number, since it uses as much as digits as its factorization.

209305829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 209305829 is about 14467.4057453297. The cubic root of 209305829 is about 593.7365360714.

The spelling of 209305829 in words is "two hundred nine million, three hundred five thousand, eight hundred twenty-nine".