Search a number
-
+
205564817 is a prime number
BaseRepresentation
bin11000100000010…
…10101110010001
3112022210202220202
430100022232101
5410111033232
632221544545
75044162223
oct1420125621
9468722822
10205564817
11a6043987
1258a15155
13337851b3
141d430413
15130a8162
hexc40ab91

205564817 has 2 divisors, whose sum is σ = 205564818. Its totient is φ = 205564816.

The previous prime is 205564787. The next prime is 205564841. The reversal of 205564817 is 718465502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 159542161 + 46022656 = 12631^2 + 6784^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-205564817 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (205564217) 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, 102782408 + 102782409.

It is an arithmetic number, because the mean of its divisors is an integer number (102782409).

Almost surely, 2205564817 is an apocalyptic number.

It is an amenable number.

205564817 is a deficient number, since it is larger than the sum of its proper divisors (1).

205564817 is an equidigital number, since it uses as much as digits as its factorization.

205564817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 67200, while the sum is 38.

The square root of 205564817 is about 14337.5317610808. The cubic root of 205564817 is about 590.1778808664.

The spelling of 205564817 in words is "two hundred five million, five hundred sixty-four thousand, eight hundred seventeen".