217680593 has 8 divisors (see below), whose sum is σ = 238849128. Its totient is φ = 197144064.

The previous prime is 217680581. The next prime is 217680607. The reversal of 217680593 is 395086712.

It can be written as a sum of positive squares in 4 ways, for example, as 29584 + 217651009 = 172^2 + 14753^2 .

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

It is not a de Polignac number, because 217680593 - 2¹⁰ = 217679569 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 217680593.

It is not an unprimeable number, because it can be changed into a prime (217680523) 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, 157280 + ... + 158657.

It is an arithmetic number, because the mean of its divisors is an integer number (29856141).

Almost surely, 2^217680593 is an apocalyptic number.

It is an amenable number.

217680593 is a deficient number, since it is larger than the sum of its proper divisors (21168535).

217680593 is a wasteful number, since it uses less digits than its factorization.

217680593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316003.

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 217680593 is about 14754.0026094616. The cubic root of 217680593 is about 601.5520862150.

The spelling of 217680593 in words is "two hundred seventeen million, six hundred eighty thousand, five hundred ninety-three".