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208097257 is a prime number
BaseRepresentation
bin11000110011101…
…00111111101001
3112111120102202211
430121310333221
5411233103012
632352125121
75104540354
oct1431647751
9474512684
10208097257
11a7513605
12598367a1
1334160a94
141d8cd29b
15134086a7
hexc674fe9

208097257 has 2 divisors, whose sum is σ = 208097258. Its totient is φ = 208097256.

The previous prime is 208097251. The next prime is 208097293. The reversal of 208097257 is 752790802.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 202663696 + 5433561 = 14236^2 + 2331^2 .

It is a cyclic number.

It is not a de Polignac number, because 208097257 - 23 = 208097249 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (208097251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104048628 + 104048629.

It is an arithmetic number, because the mean of its divisors is an integer number (104048629).

Almost surely, 2208097257 is an apocalyptic number.

It is an amenable number.

208097257 is a deficient number, since it is larger than the sum of its proper divisors (1).

208097257 is an equidigital number, since it uses as much as digits as its factorization.

208097257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 208097257 is about 14425.5764876139. The cubic root of 208097257 is about 592.5915465612.

The spelling of 208097257 in words is "two hundred eight million, ninety-seven thousand, two hundred fifty-seven".