217300968 has 40 divisors (see below), whose sum is σ = 608645730. Its totient is φ = 72433440.

The previous prime is 217300961. The next prime is 217300981. The reversal of 217300968 is 869003712.

It can be written as a sum of positive squares in only one way, i.e., 112402404 + 104898564 = 10602^2 + 10242^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (217300961) 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 9 ways as a sum of consecutive naturals, for example, 167023 + ... + 168318.

Almost surely, 2^217300968 is an apocalyptic number.

It is an amenable number.

217300968 is an abundant number, since it is smaller than the sum of its proper divisors (391344762).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

217300968 is a wasteful number, since it uses less digits than its factorization.

217300968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335359 (or 335346 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 217300968 is about 14741.1318425689. The cubic root of 217300968 is about 601.2021896247.

The spelling of 217300968 in words is "two hundred seventeen million, three hundred thousand, nine hundred sixty-eight".