217713 has 8 divisors (see below), whose sum is σ = 299776. Its totient is φ = 140400.

The previous prime is 217697. The next prime is 217717. The reversal of 217713 is 317712.

217713 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 217713 - 2⁴ = 217697 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 217713.

It is not an unprimeable number, because it can be changed into a prime (217717) 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, 1078 + ... + 1263.

It is an arithmetic number, because the mean of its divisors is an integer number (37472).

2²¹⁷⁷¹³ is an apocalyptic number.

It is an amenable number.

217713 is a deficient number, since it is larger than the sum of its proper divisors (82063).

217713 is a wasteful number, since it uses less digits than its factorization.

217713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375.

The product of its digits is 294, while the sum is 21.

The square root of 217713 is about 466.5972567429. The cubic root of 217713 is about 60.1581936573.

Subtracting 217713 from its reverse (317712), we obtain a palindrome (99999).

The spelling of 217713 in words is "two hundred seventeen thousand, seven hundred thirteen".