71117 has 6 divisors (see below), whose sum is σ = 75438. Its totient is φ = 67032.

The previous prime is 71089. The next prime is 71119.

71117 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 70756 + 361 = 266^2 + 19^2 .

It is not a de Polignac number, because 71117 - 2¹² = 67021 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 71095 and 71104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71119) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 263 + ... + 459.

It is an arithmetic number, because the mean of its divisors is an integer number (12573).

2⁷¹¹¹⁷ is an apocalyptic number.

It is an amenable number.

71117 is a deficient number, since it is larger than the sum of its proper divisors (4321).

71117 is a wasteful number, since it uses less digits than its factorization.

71117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 216 counting only the distinct ones).

The product of its digits is 49, while the sum is 17.

The square root of 71117 is about 266.6777081047. The cubic root of 71117 is about 41.4309103487.

The spelling of 71117 in words is "seventy-one thousand, one hundred seventeen", and thus it is an iban number.