71217 has 12 divisors (see below), whose sum is σ = 105924. Its totient is φ = 46080.

The previous prime is 71209. The next prime is 71233.

71217 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 9216 + 62001 = 96^2 + 249^2 .

It is not a de Polignac number, because 71217 - 2³ = 71209 is a prime.

It is a super-2 number, since 2×71217² = 10143722178, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 71217.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 71217.

It is not an unprimeable number, because it can be changed into a prime (71237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 273 + ... + 465.

It is an arithmetic number, because the mean of its divisors is an integer number (8827).

2⁷¹²¹⁷ is an apocalyptic number.

It is an amenable number.

71217 is a deficient number, since it is larger than the sum of its proper divisors (34707).

71217 is a wasteful number, since it uses less digits than its factorization.

71217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 237 counting only the distinct ones).

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

The square root of 71217 is about 266.8651344781. The cubic root of 71217 is about 41.4503203849.

It can be divided in two parts, 712 and 17, that added together give a 6-th power (729 = 3⁶).

The spelling of 71217 in words is "seventy-one thousand, two hundred seventeen", and thus it is an iban number.