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123217 is a prime number
BaseRepresentation
bin11110000101010001
320021000121
4132011101
512420332
62350241
71022143
oct360521
9207017
10123217
1184636
125b381
1344113
1432c93
1526797
hex1e151

123217 has 2 divisors, whose sum is σ = 123218. Its totient is φ = 123216.

The previous prime is 123209. The next prime is 123229. The reversal of 123217 is 712321.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 123201 + 16 = 351^2 + 4^2 .

It is an emirp because it is prime and its reverse (712321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123217 - 23 = 123209 is a prime.

It is an Ulam number.

It is equal to p11581 and since 123217 and 11581 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123217.

It is not a weakly prime, because it can be changed into another prime (123017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61608 + 61609.

It is an arithmetic number, because the mean of its divisors is an integer number (61609).

2123217 is an apocalyptic number.

It is an amenable number.

123217 is a deficient number, since it is larger than the sum of its proper divisors (1).

123217 is an equidigital number, since it uses as much as digits as its factorization.

123217 is an evil number, because the sum of its binary digits is even.

The product of its digits is 84, while the sum is 16.

The square root of 123217 is about 351.0227912828. The cubic root of 123217 is about 49.7611272805.

Subtracting from 123217 its sum of digits (16), we obtain a square (123201 = 3512).

Adding to 123217 its reverse (712321), we get a palindrome (835538).

The spelling of 123217 in words is "one hundred twenty-three thousand, two hundred seventeen", and thus it is an iban number.