217347204321 has 24 divisors (see below), whose sum is σ = 345958348736. Its totient is φ = 130641608160.

The previous prime is 217347204251. The next prime is 217347204323. The reversal of 217347204321 is 123402743712.

217347204321 is a `hidden beast` number, since 21 + 73 + 47 + 204 + 321 = 666.

217347204321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 217347204321 - 2¹⁵ = 217347171553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (217347204323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21595765 + ... + 21605826.

Almost surely, 2^217347204321 is an apocalyptic number.

It is an amenable number.

217347204321 is a deficient number, since it is larger than the sum of its proper divisors (128611144415).

217347204321 is a wasteful number, since it uses less digits than its factorization.

217347204321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43201653 (or 43201650 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 217347204321 in words is "two hundred seventeen billion, three hundred forty-seven million, two hundred four thousand, three hundred twenty-one".