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204913 is a prime number
BaseRepresentation
bin110010000001110001
3101102002101
4302001301
523024123
64220401
71512262
oct620161
9342071
10204913
1112aa55
129a701
1372367
1454969
1540aad
hex32071

204913 has 2 divisors, whose sum is σ = 204914. Its totient is φ = 204912.

The previous prime is 204887. The next prime is 204917. The reversal of 204913 is 319402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 187489 + 17424 = 433^2 + 132^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-204913 is a prime.

It is an Ulam number.

204913 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (204917) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102456 + 102457.

It is an arithmetic number, because the mean of its divisors is an integer number (102457).

2204913 is an apocalyptic number.

It is an amenable number.

204913 is a deficient number, since it is larger than the sum of its proper divisors (1).

204913 is an equidigital number, since it uses as much as digits as its factorization.

204913 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 204913 is about 452.6731712837. The cubic root of 204913 is about 58.9553430152.

The spelling of 204913 in words is "two hundred four thousand, nine hundred thirteen".