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205319 is a prime number
BaseRepresentation
bin110010001000000111
3101102122102
4302020013
523032234
64222315
71513412
oct621007
9342572
10205319
11130294
129a99b
13725ba
1454b79
1540c7e
hex32207

205319 has 2 divisors, whose sum is σ = 205320. Its totient is φ = 205318.

The previous prime is 205307. The next prime is 205327. The reversal of 205319 is 913502.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 205319 - 28 = 205063 is a prime.

It is a super-2 number, since 2×2053192 = 84311783522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 205319.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205339) 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, 102659 + 102660.

It is an arithmetic number, because the mean of its divisors is an integer number (102660).

2205319 is an apocalyptic number.

205319 is a deficient number, since it is larger than the sum of its proper divisors (1).

205319 is an equidigital number, since it uses as much as digits as its factorization.

205319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 205319 is about 453.1213965374. The cubic root of 205319 is about 58.9942539650.

The spelling of 205319 in words is "two hundred five thousand, three hundred nineteen".