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206593 is a prime number
BaseRepresentation
bin110010011100000001
3101111101121
4302130001
523102333
64232241
71520212
oct623401
9344347
10206593
11131242
129b681
137305a
1455409
154132d
hex32701

206593 has 2 divisors, whose sum is σ = 206594. Its totient is φ = 206592.

The previous prime is 206551. The next prime is 206597. The reversal of 206593 is 395602.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 183184 + 23409 = 428^2 + 153^2 .

It is a cyclic number.

It is not a de Polignac number, because 206593 - 29 = 206081 is a prime.

206593 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (206597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 103296 + 103297.

It is an arithmetic number, because the mean of its divisors is an integer number (103297).

2206593 is an apocalyptic number.

It is an amenable number.

206593 is a deficient number, since it is larger than the sum of its proper divisors (1).

206593 is an equidigital number, since it uses as much as digits as its factorization.

206593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 206593 is about 454.5250268137. The cubic root of 206593 is about 59.1160218166.

The spelling of 206593 in words is "two hundred six thousand, five hundred ninety-three".