180117 has 16 divisors (see below), whose sum is σ = 305280. Its totient is φ = 102816.

The previous prime is 180097. The next prime is 180137. The reversal of 180117 is 711081.

It is an interprime number because it is at equal distance from previous prime (180097) and next prime (180137).

It is not a de Polignac number, because 180117 - 2⁶ = 180053 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 180117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288 + ... + 665.

It is an arithmetic number, because the mean of its divisors is an integer number (19080).

2¹⁸⁰¹¹⁷ is an apocalyptic number.

It is an amenable number.

180117 is a deficient number, since it is larger than the sum of its proper divisors (125163).

180117 is an equidigital number, since it uses as much as digits as its factorization.

180117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 180117 is about 424.4019321351. The cubic root of 180117 is about 56.4743925516.

Adding to 180117 its reverse (711081), we get a palindrome (891198).

The spelling of 180117 in words is "one hundred eighty thousand, one hundred seventeen".