205998137 has 2 divisors, whose sum is σ = 205998138. Its totient is φ = 205998136.

The previous prime is 205998113. The next prime is 205998173. The reversal of 205998137 is 731899502.

Together with next prime (205998173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 166823056 + 39175081 = 12916^2 + 6259^2 .

It is a cyclic number.

It is not a de Polignac number, because 205998137 - 2⁶ = 205998073 is a prime.

It is not a weakly prime, because it can be changed into another prime (205994137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102999068 + 102999069.

It is an arithmetic number, because the mean of its divisors is an integer number (102999069).

Almost surely, 2^205998137 is an apocalyptic number.

It is an amenable number.

205998137 is a deficient number, since it is larger than the sum of its proper divisors (1).

205998137 is an equidigital number, since it uses as much as digits as its factorization.

205998137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 136080, while the sum is 44.

The square root of 205998137 is about 14352.6351935803. The cubic root of 205998137 is about 590.5922779740.

The spelling of 205998137 in words is "two hundred five million, nine hundred ninety-eight thousand, one hundred thirty-seven".