207117 has 10 divisors (see below), whose sum is σ = 309518. Its totient is φ = 138024.

The previous prime is 207113. The next prime is 207121. The reversal of 207117 is 711702.

It is an interprime number because it is at equal distance from previous prime (207113) and next prime (207121).

It can be written as a sum of positive squares in only one way, i.e., 171396 + 35721 = 414^2 + 189^2 .

It is not a de Polignac number, because 207117 - 2² = 207113 is a prime.

It is a Duffinian number.

207117 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 207117.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 207117.

It is not an unprimeable number, because it can be changed into a prime (207113) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1198 + ... + 1359.

2²⁰⁷¹¹⁷ is an apocalyptic number.

207117 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

207117 is a deficient number, since it is larger than the sum of its proper divisors (102401).

207117 is an equidigital number, since it uses as much as digits as its factorization.

207117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 207117 is about 455.1010876717. The cubic root of 207117 is about 59.1659600083.

Adding to 207117 its reverse (711702), we get a palindrome (918819).

It can be divided in two parts, 207 and 117, that added together give a square (324 = 18²).

The spelling of 207117 in words is "two hundred seven thousand, one hundred seventeen", and thus it is an iban number.