217230972 has 48 divisors (see below), whose sum is σ = 584720640. Its totient is φ = 61483392.

The previous prime is 217230953. The next prime is 217230973. The reversal of 217230972 is 279032712.

217230972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217230973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3097 + ... + 21072.

It is an arithmetic number, because the mean of its divisors is an integer number (12181680).

Almost surely, 2^217230972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217230972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292360320).

217230972 is an abundant number, since it is smaller than the sum of its proper divisors (367489668).

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

217230972 is a wasteful number, since it uses less digits than its factorization.

217230972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24290 (or 24288 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 217230972 is about 14738.7574781594. The cubic root of 217230972 is about 601.1376305203.

The spelling of 217230972 in words is "two hundred seventeen million, two hundred thirty thousand, nine hundred seventy-two".