217215752 has 64 divisors (see below), whose sum is σ = 474331200. Its totient is φ = 92378880.

The previous prime is 217215743. The next prime is 217215787. The reversal of 217215752 is 257512712.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 71627 + ... + 74597.

It is an arithmetic number, because the mean of its divisors is an integer number (7411425).

Almost surely, 2^217215752 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 217215752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237165600).

217215752 is an abundant number, since it is smaller than the sum of its proper divisors (257115448).

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

217215752 is a wasteful number, since it uses less digits than its factorization.

217215752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3042 counting only the distinct ones).

The product of its digits is 9800, while the sum is 32.

The square root of 217215752 is about 14738.2411433658. The cubic root of 217215752 is about 601.1235908887.

The spelling of 217215752 in words is "two hundred seventeen million, two hundred fifteen thousand, seven hundred fifty-two".