117617 has 2 divisors, whose sum is σ = 117618. Its totient is φ = 117616.

The previous prime is 117577. The next prime is 117619. The reversal of 117617 is 716711.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59536 + 58081 = 244^2 + 241^2 .

It is a cyclic number.

It is not a de Polignac number, because 117617 - 2⁸ = 117361 is a prime.

Together with 117619, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 117592 and 117601.

It is not a weakly prime, because it can be changed into another prime (117619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 58808 + 58809.

It is an arithmetic number, because the mean of its divisors is an integer number (58809).

2¹¹⁷⁶¹⁷ is an apocalyptic number.

It is an amenable number.

117617 is a deficient number, since it is larger than the sum of its proper divisors (1).

117617 is an equidigital number, since it uses as much as digits as its factorization.

117617 is an evil number, because the sum of its binary digits is even.

The product of its digits is 294, while the sum is 23.

The square root of 117617 is about 342.9533495973. The cubic root of 117617 is about 48.9955570038.

The spelling of 117617 in words is "one hundred seventeen thousand, six hundred seventeen".