71617 has 8 divisors (see below), whose sum is σ = 88256. Its totient is φ = 56592.

The previous prime is 71597. The next prime is 71633.

71617 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-71617 is a prime.

71617 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 71617.

It is not an unprimeable number, because it can be changed into a prime (71647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 303 + ... + 484.

It is an arithmetic number, because the mean of its divisors is an integer number (11032).

2⁷¹⁶¹⁷ is an apocalyptic number.

It is an amenable number.

71617 is a deficient number, since it is larger than the sum of its proper divisors (16639).

71617 is a wasteful number, since it uses less digits than its factorization.

71617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807.

The product of its digits is 294, while the sum is 22.

The square root of 71617 is about 267.6135273113. The cubic root of 71617 is about 41.5277793396.

The spelling of 71617 in words is "seventy-one thousand, six hundred seventeen".