Search a number
-
+
12117 = 37577
BaseRepresentation
bin10111101010101
3121121210
42331111
5341432
6132033
750220
oct27525
917553
1012117
119116
127019
135691
1445b7
1538cc
hex2f55

12117 has 8 divisors (see below), whose sum is σ = 18496. Its totient is φ = 6912.

The previous prime is 12113. The next prime is 12119. The reversal of 12117 is 71121.

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

It is not a de Polignac number, because 12117 - 22 = 12113 is a prime.

It is a Duffinian number.

12117 is a lucky number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12113) 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, 268 + ... + 309.

It is an arithmetic number, because the mean of its divisors is an integer number (2312).

It is an amenable number.

12117 is a deficient number, since it is larger than the sum of its proper divisors (6379).

12117 is an equidigital number, since it uses as much as digits as its factorization.

12117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587.

The product of its digits is 14, while the sum is 12.

The square root of 12117 is about 110.0772456051. The cubic root of 12117 is about 22.9684507574.

Adding to 12117 its reverse (71121), we get a palindrome (83238).

The spelling of 12117 in words is "twelve thousand, one hundred seventeen", and thus it is an iban number.

Divisors: 1 3 7 21 577 1731 4039 12117