217973472 has 48 divisors (see below), whose sum is σ = 602300160. Its totient is φ = 68833152.

The previous prime is 217973467. The next prime is 217973477. The reversal of 217973472 is 274379712.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (217973467) and next prime (217973477).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217973477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57928 + ... + 61575.

It is an arithmetic number, because the mean of its divisors is an integer number (12547920).

Almost surely, 2^217973472 is an apocalyptic number.

It is an amenable number.

217973472 is an abundant number, since it is smaller than the sum of its proper divisors (384326688).

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

217973472 is a wasteful number, since it uses less digits than its factorization.

217973472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119535 (or 119527 counting only the distinct ones).

The product of its digits is 148176, while the sum is 42.

The square root of 217973472 is about 14763.9246814660. The cubic root of 217973472 is about 601.8217519902.

The spelling of 217973472 in words is "two hundred seventeen million, nine hundred seventy-three thousand, four hundred seventy-two".