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14217 = 37677
BaseRepresentation
bin11011110001001
3201111120
43132021
5423332
6145453
756310
oct33611
921446
1014217
11a755
128289
136618
145277
15432c
hex3789

14217 has 8 divisors (see below), whose sum is σ = 21696. Its totient is φ = 8112.

The previous prime is 14207. The next prime is 14221. The reversal of 14217 is 71241.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 14217 - 26 = 14153 is a prime.

14217 is a lucky number.

It is a plaindrome in base 16.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 14196 and 14205.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 14217.

It is not an unprimeable number, because it can be changed into a prime (14207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318 + ... + 359.

It is an arithmetic number, because the mean of its divisors is an integer number (2712).

214217 is an apocalyptic number.

It is an amenable number.

14217 is a deficient number, since it is larger than the sum of its proper divisors (7479).

14217 is an equidigital number, since it uses as much as digits as its factorization.

14217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687.

The product of its digits is 56, while the sum is 15.

The square root of 14217 is about 119.2350619575. The cubic root of 14217 is about 24.2253087682.

Subtracting from 14217 its product of digits (56), we obtain a square (14161 = 1192).

Adding to 14217 its reverse (71241), we get a palindrome (85458).

It can be divided in two parts, 14 and 217, that added together give a triangular number (231 = T21).

The spelling of 14217 in words is "fourteen thousand, two hundred seventeen", and thus it is an iban number.

Divisors: 1 3 7 21 677 2031 4739 14217