217972314 has 96 divisors (see below), whose sum is σ = 555984000. Its totient is φ = 60435072.

The previous prime is 217972301. The next prime is 217972319. The reversal of 217972314 is 413279712.

It is not an unprimeable number, because it can be changed into a prime (217972319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 810172 + ... + 810440.

It is an arithmetic number, because the mean of its divisors is an integer number (5791500).

Almost surely, 2^217972314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217972314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277992000).

217972314 is an abundant number, since it is smaller than the sum of its proper divisors (338011686).

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

217972314 is a wasteful number, since it uses less digits than its factorization.

217972314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 449 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 217972314 is about 14763.8854641995. The cubic root of 217972314 is about 601.8206862477.

The spelling of 217972314 in words is "two hundred seventeen million, nine hundred seventy-two thousand, three hundred fourteen".