205993121 has 2 divisors, whose sum is σ = 205993122. Its totient is φ = 205993120.

The previous prime is 205993069. The next prime is 205993127. The reversal of 205993121 is 121399502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119596096 + 86397025 = 10936^2 + 9295^2 .

It is a cyclic number.

It is not a de Polignac number, because 205993121 - 2¹⁰ = 205992097 is a prime.

It is not a weakly prime, because it can be changed into another prime (205993127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102996560 + 102996561.

It is an arithmetic number, because the mean of its divisors is an integer number (102996561).

Almost surely, 2^205993121 is an apocalyptic number.

It is an amenable number.

205993121 is a deficient number, since it is larger than the sum of its proper divisors (1).

205993121 is an equidigital number, since it uses as much as digits as its factorization.

205993121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4860, while the sum is 32.

The square root of 205993121 is about 14352.4604510864. The cubic root of 205993121 is about 590.5874843467.

The spelling of 205993121 in words is "two hundred five million, nine hundred ninety-three thousand, one hundred twenty-one".