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205307 is a prime number
BaseRepresentation
bin110010000111111011
3101102121222
4302013323
523032212
64222255
71513364
oct620773
9342558
10205307
11130283
129a98b
13725ab
1454b6b
1540c72
hex321fb

205307 has 2 divisors, whose sum is σ = 205308. Its totient is φ = 205306.

The previous prime is 205297. The next prime is 205319. The reversal of 205307 is 703502.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 205307 - 212 = 201211 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205307.

It is not a weakly prime, because it can be changed into another prime (205327) 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, 102653 + 102654.

It is an arithmetic number, because the mean of its divisors is an integer number (102654).

2205307 is an apocalyptic number.

205307 is a deficient number, since it is larger than the sum of its proper divisors (1).

205307 is an equidigital number, since it uses as much as digits as its factorization.

205307 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 210, while the sum is 17.

The square root of 205307 is about 453.1081548593. The cubic root of 205307 is about 58.9931046236.

Adding to 205307 its reverse (703502), we get a palindrome (908809).

It can be divided in two parts, 205 and 307, that added together give a 9-th power (512 = 29).

The spelling of 205307 in words is "two hundred five thousand, three hundred seven".