205829137 has 2 divisors, whose sum is σ = 205829138. Its totient is φ = 205829136.

The previous prime is 205829087. The next prime is 205829191. The reversal of 205829137 is 731928502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 125529616 + 80299521 = 11204^2 + 8961^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205829137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205829096 and 205829105.

It is not a weakly prime, because it can be changed into another prime (205829537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102914568 + 102914569.

It is an arithmetic number, because the mean of its divisors is an integer number (102914569).

Almost surely, 2^205829137 is an apocalyptic number.

It is an amenable number.

205829137 is a deficient number, since it is larger than the sum of its proper divisors (1).

205829137 is an equidigital number, since it uses as much as digits as its factorization.

205829137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 205829137 is about 14346.7465649882. The cubic root of 205829137 is about 590.4307273188.

The spelling of 205829137 in words is "two hundred five million, eight hundred twenty-nine thousand, one hundred thirty-seven".