205122329 has 2 divisors, whose sum is σ = 205122330. Its totient is φ = 205122328.

The previous prime is 205122293. The next prime is 205122331. The reversal of 205122329 is 923221502.

Together with previous prime (205122293) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 189337600 + 15784729 = 13760^2 + 3973^2 .

It is a cyclic number.

It is not a de Polignac number, because 205122329 - 2¹⁶ = 205056793 is a prime.

Together with 205122331, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 205122298 and 205122307.

It is not a weakly prime, because it can be changed into another prime (205112329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102561164 + 102561165.

It is an arithmetic number, because the mean of its divisors is an integer number (102561165).

Almost surely, 2^205122329 is an apocalyptic number.

It is an amenable number.

205122329 is a deficient number, since it is larger than the sum of its proper divisors (1).

205122329 is an equidigital number, since it uses as much as digits as its factorization.

205122329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 205122329 is about 14322.0923401576. The cubic root of 205122329 is about 589.7541147194.

The spelling of 205122329 in words is "two hundred five million, one hundred twenty-two thousand, three hundred twenty-nine".