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BaseRepresentation
bin1000000010101
312122111
41000111
5112432
631021
715001
oct10025
95574
104117
113103
122471
131b49
141701
151347
hex1015

4117 has 4 divisors (see below), whose sum is σ = 4320. Its totient is φ = 3916.

The previous prime is 4111. The next prime is 4127. The reversal of 4117 is 7114.

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, and also an emirpimes, since its reverse is a distinct semiprime: 7114 = 23557.

It is a cyclic number.

It is not a de Polignac number, because 4117 - 27 = 3989 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 4097 and 4106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67 + ... + 112.

It is an arithmetic number, because the mean of its divisors is an integer number (1080).

24117 is an apocalyptic number.

It is an amenable number.

4117 is a deficient number, since it is larger than the sum of its proper divisors (203).

4117 is a wasteful number, since it uses less digits than its factorization.

4117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202.

The product of its digits is 28, while the sum is 13.

The square root of 4117 is about 64.1638527522. The cubic root of 4117 is about 16.0272971526.

It can be divided in two parts, 4 and 117, that added together give a palindrome (121).

The spelling of 4117 in words is "four thousand, one hundred seventeen", and thus it is an iban number.

Divisors: 1 23 179 4117