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20117 is a prime number
BaseRepresentation
bin100111010010101
31000121002
410322111
51120432
6233045
7112436
oct47225
930532
1020117
1114129
12b785
139206
14748d
155e62
hex4e95

20117 has 2 divisors, whose sum is σ = 20118. Its totient is φ = 20116.

The previous prime is 20113. The next prime is 20123. The reversal of 20117 is 71102.

Adding to 20117 its reverse (71102), we get a palindrome (91219).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14641 + 5476 = 121^2 + 74^2 .

It is a cyclic number.

It is not a de Polignac number, because 20117 - 22 = 20113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20098 and 20107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10058 + 10059.

It is an arithmetic number, because the mean of its divisors is an integer number (10059).

220117 is an apocalyptic number.

It is an amenable number.

20117 is a deficient number, since it is larger than the sum of its proper divisors (1).

20117 is an equidigital number, since it uses as much as digits as its factorization.

20117 is an evil number, because the sum of its binary digits is even.

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

The square root of 20117 is about 141.8344104934. The cubic root of 20117 is about 27.1970044279.

The spelling of 20117 in words is "twenty thousand, one hundred seventeen", and thus it is an iban number.