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20217 = 323293
BaseRepresentation
bin100111011111001
31000201210
410323321
51121332
6233333
7112641
oct47371
930653
1020217
111420a
12b849
139282
147521
155ecc
hex4ef9

20217 has 8 divisors (see below), whose sum is σ = 28224. Its totient is φ = 12848.

The previous prime is 20201. The next prime is 20219. The reversal of 20217 is 71202.

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

It is a cyclic number.

It is not a de Polignac number, because 20217 - 24 = 20201 is a prime.

It is a plaindrome in base 6.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 20217.

It is not an unprimeable number, because it can be changed into a prime (20219) 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, 78 + ... + 215.

It is an arithmetic number, because the mean of its divisors is an integer number (3528).

220217 is an apocalyptic number.

It is an amenable number.

20217 is a deficient number, since it is larger than the sum of its proper divisors (8007).

20217 is a wasteful number, since it uses less digits than its factorization.

20217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319.

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 20217 is about 142.1864972492. The cubic root of 20217 is about 27.2419946745.

Adding to 20217 its reverse (71202), we get a palindrome (91419).

The spelling of 20217 in words is "twenty thousand, two hundred seventeen", and thus it is an iban number.

Divisors: 1 3 23 69 293 879 6739 20217