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217361 is a prime number
BaseRepresentation
bin110101000100010001
3102001011102
4311010101
523423421
64354145
71563464
oct650421
9361142
10217361
11139341
12a5955
1377c21
14592db
154460b
hex35111

217361 has 2 divisors, whose sum is σ = 217362. Its totient is φ = 217360.

The previous prime is 217351. The next prime is 217363. The reversal of 217361 is 163712.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115600 + 101761 = 340^2 + 319^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-217361 is a prime.

Together with 217363, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 217361.

It is not a weakly prime, because it can be changed into another prime (217363) 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, 108680 + 108681.

It is an arithmetic number, because the mean of its divisors is an integer number (108681).

2217361 is an apocalyptic number.

217361 is the 209-th centered decagonal number.

It is an amenable number.

217361 is a deficient number, since it is larger than the sum of its proper divisors (1).

217361 is an equidigital number, since it uses as much as digits as its factorization.

217361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 252, while the sum is 20.

The square root of 217361 is about 466.2199051950. The cubic root of 217361 is about 60.1257547634.

The spelling of 217361 in words is "two hundred seventeen thousand, three hundred sixty-one".