• 117 can be written using four 4's:

117 has 6 divisors (see below), whose sum is σ = 182. Its totient is φ = 72.

The previous prime is 113. The next prime is 127. The reversal of 117 is 711.

117 is nontrivially palindromic in base 6 and base 12.

117 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 81 + 36 = 9^2 + 6^2 .

It is not a de Polignac number, because 117 - 2^{2} = 113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 13 = 117 / (1 + 1 + 7).

117 is an undulating number in base 6.

117 is a nontrivial repdigit in base 12.

It is a plaindrome in base 7, base 10, base 12 and base 15.

It is a nialpdrome in base 3, base 5, base 11, base 12, base 13, base 14 and base 16.

It is a zygodrome in base 3 and base 12.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 99 and 108.

It is a congruent number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3 + ... + 15.

117 is the 9-th pentagonal number.

It is an amenable number.

117 is a deficient number, since it is larger than the sum of its proper divisors (65).

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

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

The sum of its prime factors is 19 (or 16 counting only the distinct ones).

The product of its digits is 7, while the sum is 9.

The square root of 117 is about 10.8166538264. The cubic root of 117 is about 4.8909732465.

Adding to 117 its reverse (711), we get a palindrome (828).

It can be divided in two parts, 11 and 7, that multiplied together give a palindrome (77).

The spelling of 117 in words is "one hundred seventeen", and thus it is an aban number and an iban number.

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