213717 has 8 divisors (see below), whose sum is σ = 325696. Its totient is φ = 122112.

The previous prime is 213713. The next prime is 213721. The reversal of 213717 is 717312.

213717 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213713) and next prime (213721).

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

It is not a de Polignac number, because 213717 - 2² = 213713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 10177 = 213717 / (2 + 1 + 3 + 7 + 1 + 7).

213717 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 213693 and 213702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213713) 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, 5068 + ... + 5109.

It is an arithmetic number, because the mean of its divisors is an integer number (40712).

2²¹³⁷¹⁷ is an apocalyptic number.

It is an amenable number.

213717 is a deficient number, since it is larger than the sum of its proper divisors (111979).

213717 is a wasteful number, since it uses less digits than its factorization.

213717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10187.

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

The square root of 213717 is about 462.2953601325. The cubic root of 213717 is about 59.7878619526.

The spelling of 213717 in words is "two hundred thirteen thousand, seven hundred seventeen".