205738957 has 2 divisors, whose sum is σ = 205738958. Its totient is φ = 205738956.

The previous prime is 205738937. The next prime is 205738997. The reversal of 205738957 is 759837502.

205738957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 131537961 + 74200996 = 11469^2 + 8614^2 .

It is a cyclic number.

It is not a de Polignac number, because 205738957 - 2⁷ = 205738829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205738937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102869478 + 102869479.

It is an arithmetic number, because the mean of its divisors is an integer number (102869479).

Almost surely, 2^205738957 is an apocalyptic number.

It is an amenable number.

205738957 is a deficient number, since it is larger than the sum of its proper divisors (1).

205738957 is an equidigital number, since it uses as much as digits as its factorization.

205738957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 529200, while the sum is 46.

The square root of 205738957 is about 14343.6033478342. The cubic root of 205738957 is about 590.3444861744.

It can be divided in two parts, 2057 and 38957, that added together give a palindrome (41014).

The spelling of 205738957 in words is "two hundred five million, seven hundred thirty-eight thousand, nine hundred fifty-seven".