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80209 is a prime number
BaseRepresentation
bin10011100101010001
311002000201
4103211101
510031314
61415201
7452563
oct234521
9132021
1080209
1155298
123a501
132a67c
1421333
1518b74
hex13951

80209 has 2 divisors, whose sum is σ = 80210. Its totient is φ = 80208.

The previous prime is 80207. The next prime is 80221. The reversal of 80209 is 90208.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50625 + 29584 = 225^2 + 172^2 .

It is a cyclic number.

It is not a de Polignac number, because 80209 - 21 = 80207 is a prime.

Together with 80207, it forms a pair of twin primes.

It is a Chen prime.

80209 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (80207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40104 + 40105.

It is an arithmetic number, because the mean of its divisors is an integer number (40105).

280209 is an apocalyptic number.

It is an amenable number.

80209 is a deficient number, since it is larger than the sum of its proper divisors (1).

80209 is an equidigital number, since it uses as much as digits as its factorization.

80209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 80209 is about 283.2119347768. The cubic root of 80209 is about 43.1261842425.

Subtracting 80209 from its reverse (90208), we obtain a palindrome (9999).

It can be divided in two parts, 80 and 209, that added together give a square (289 = 172).

The spelling of 80209 in words is "eighty thousand, two hundred nine".