205249829 has 2 divisors, whose sum is σ = 205249830. Its totient is φ = 205249828.

The previous prime is 205249817. The next prime is 205249843. The reversal of 205249829 is 928942502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 187416100 + 17833729 = 13690^2 + 4223^2 .

It is a cyclic number.

It is not a de Polignac number, because 205249829 - 2⁸ = 205249573 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205249859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102624914 + 102624915.

It is an arithmetic number, because the mean of its divisors is an integer number (102624915).

Almost surely, 2^205249829 is an apocalyptic number.

It is an amenable number.

205249829 is a deficient number, since it is larger than the sum of its proper divisors (1).

205249829 is an equidigital number, since it uses as much as digits as its factorization.

205249829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 205249829 is about 14326.5428139520. The cubic root of 205249829 is about 589.8762825915.

The spelling of 205249829 in words is "two hundred five million, two hundred forty-nine thousand, eight hundred twenty-nine".