117665 has 8 divisors (see below), whose sum is σ = 143208. Its totient is φ = 92800.

The previous prime is 117659. The next prime is 117671. The reversal of 117665 is 566711.

It is an interprime number because it is at equal distance from previous prime (117659) and next prime (117671).

It can be written as a sum of positive squares in 4 ways, for example, as 22801 + 94864 = 151^2 + 308^2 .

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

It is not a de Polignac number, because 117665 - 2¹⁴ = 101281 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 117665.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 389 + ... + 621.

It is an arithmetic number, because the mean of its divisors is an integer number (17901).

117665 is a Friedman number, since it can be written as 7^6+6+5*(1+1), using all its digits and the basic arithmetic operations.

2¹¹⁷⁶⁶⁵ is an apocalyptic number.

It is an amenable number.

117665 is a deficient number, since it is larger than the sum of its proper divisors (25543).

117665 is a wasteful number, since it uses less digits than its factorization.

117665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339.

The product of its digits is 1260, while the sum is 26.

The square root of 117665 is about 343.0233228222. The cubic root of 117665 is about 49.0022211960.

The spelling of 117665 in words is "one hundred seventeen thousand, six hundred sixty-five".