5782670821717 has 8 divisors (see below), whose sum is σ = 5786798748120. Its totient is φ = 5778543916800.

The previous prime is 5782670821699. The next prime is 5782670821723. The reversal of 5782670821717 is 7171280762875.

5782670821717 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 108561024196 + 5674109797521 = 329486^2 + 2382039^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 5782670821717 - 2⁷ = 5782670821589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5782670824717) 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, 11255313 + ... + 11757865.

It is an arithmetic number, because the mean of its divisors is an integer number (723349843515).

Almost surely, 2^{5782670821717} is an apocalyptic number.

It is an amenable number.

5782670821717 is a deficient number, since it is larger than the sum of its proper divisors (4127926403).

5782670821717 is a wasteful number, since it uses less digits than its factorization.

5782670821717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510743.

The product of its (nonzero) digits is 18439680, while the sum is 61.

The spelling of 5782670821717 in words is "five trillion, seven hundred eighty-two billion, six hundred seventy million, eight hundred twenty-one thousand, seven hundred seventeen".