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16117 = 71227
BaseRepresentation
bin11111011110101
3211002221
43323311
51003432
6202341
764663
oct37365
924087
1016117
1111122
1293b1
13744a
145c33
154b97
hex3ef5

16117 has 4 divisors (see below), whose sum is σ = 16416. Its totient is φ = 15820.

The previous prime is 16111. The next prime is 16127. The reversal of 16117 is 71161.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-16117 is a prime.

It is a Duffinian number.

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 16117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43 + ... + 184.

It is an arithmetic number, because the mean of its divisors is an integer number (4104).

216117 is an apocalyptic number.

It is an amenable number.

16117 is a deficient number, since it is larger than the sum of its proper divisors (299).

16117 is an equidigital number, since it uses as much as digits as its factorization.

16117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298.

The product of its digits is 42, while the sum is 16.

The square root of 16117 is about 126.9527471148. The cubic root of 16117 is about 25.2596930403.

Adding to 16117 its reverse (71161), we get a palindrome (87278).

The spelling of 16117 in words is "sixteen thousand, one hundred seventeen".

Divisors: 1 71 227 16117