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16217 is a prime number
BaseRepresentation
bin11111101011001
3211020122
43331121
51004332
6203025
765165
oct37531
924218
1016217
1111203
129475
1374c6
145ca5
154c12
hex3f59

16217 has 2 divisors, whose sum is σ = 16218. Its totient is φ = 16216.

The previous prime is 16193. The next prime is 16223. The reversal of 16217 is 71261.

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., 15376 + 841 = 124^2 + 29^2 .

It is an emirp because it is prime and its reverse (71261) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 16217 - 210 = 15193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 16195 and 16204.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 16217.

It is not a weakly prime, because it can be changed into another prime (16267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8108 + 8109.

It is an arithmetic number, because the mean of its divisors is an integer number (8109).

216217 is an apocalyptic number.

It is an amenable number.

16217 is a deficient number, since it is larger than the sum of its proper divisors (1).

16217 is an equidigital number, since it uses as much as digits as its factorization.

16217 is an evil number, because the sum of its binary digits is even.

The product of its digits is 84, while the sum is 17.

The square root of 16217 is about 127.3459854098. The cubic root of 16217 is about 25.3118277015.

The spelling of 16217 in words is "sixteen thousand, two hundred seventeen".