205541597 has 2 divisors, whose sum is σ = 205541598. Its totient is φ = 205541596.

The previous prime is 205541561. The next prime is 205541617. The reversal of 205541597 is 795145502.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103652761 + 101888836 = 10181^2 + 10094^2 .

It is a cyclic number.

It is not a de Polignac number, because 205541597 - 2¹⁸ = 205279453 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205541597.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205541537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102770798 + 102770799.

It is an arithmetic number, because the mean of its divisors is an integer number (102770799).

Almost surely, 2^205541597 is an apocalyptic number.

It is an amenable number.

205541597 is a deficient number, since it is larger than the sum of its proper divisors (1).

205541597 is an equidigital number, since it uses as much as digits as its factorization.

205541597 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63000, while the sum is 38.

The square root of 205541597 is about 14336.7219754029. The cubic root of 205541597 is about 590.1556584410.

The spelling of 205541597 in words is "two hundred five million, five hundred forty-one thousand, five hundred ninety-seven".