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10217 = 17601
BaseRepresentation
bin10011111101001
3112000102
42133221
5311332
6115145
741534
oct23751
915012
1010217
117749
125ab5
13485c
143a1b
153062
hex27e9

10217 has 4 divisors (see below), whose sum is σ = 10836. Its totient is φ = 9600.

The previous prime is 10211. The next prime is 10223. The reversal of 10217 is 71201.

Adding to 10217 its reverse (71201), we get a palindrome (81418).

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 71201 = 135477.

It is an interprime number because it is at equal distance from previous prime (10211) and next prime (10223).

It can be written as a sum of positive squares in 2 ways, for example, as 8281 + 1936 = 91^2 + 44^2 .

It is a cyclic number.

It is not a de Polignac number, because 10217 - 212 = 6121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10198 and 10207.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10217.

It is not an unprimeable number, because it can be changed into a prime (10211) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 284 + ... + 317.

It is an arithmetic number, because the mean of its divisors is an integer number (2709).

210217 is an apocalyptic number.

10217 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10217 is a deficient number, since it is larger than the sum of its proper divisors (619).

10217 is an equidigital number, since it uses as much as digits as its factorization.

10217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618.

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 10217 is about 101.0791768862. The cubic root of 10217 is about 21.6990705145.

The spelling of 10217 in words is "ten thousand, two hundred seventeen", and thus it is an iban number.

Divisors: 1 17 601 10217