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205000597 is a prime number
BaseRepresentation
bin11000011100000…
…00111110010101
3112021202002221201
430032000332111
5404440004342
632201512501
75036322244
oct1416007625
9467662851
10205000597
11a5798a8a
12587a2731
1333618439
141d32495b
1512ee5db7
hexc380f95

205000597 has 2 divisors, whose sum is σ = 205000598. Its totient is φ = 205000596.

The previous prime is 205000583. The next prime is 205000657. The reversal of 205000597 is 795000502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 199402641 + 5597956 = 14121^2 + 2366^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-205000597 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205000517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102500298 + 102500299.

It is an arithmetic number, because the mean of its divisors is an integer number (102500299).

Almost surely, 2205000597 is an apocalyptic number.

It is an amenable number.

205000597 is a deficient number, since it is larger than the sum of its proper divisors (1).

205000597 is an equidigital number, since it uses as much as digits as its factorization.

205000597 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 205000597 is about 14317.8419114055. The cubic root of 205000597 is about 589.6374263757.

The spelling of 205000597 in words is "two hundred five million, five hundred ninety-seven", and thus it is an aban number.