217828712 has 32 divisors (see below), whose sum is σ = 419390400. Its totient is φ = 106009344.

The previous prime is 217828703. The next prime is 217828717.

217828712 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (217828717) 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 7 ways as a sum of consecutive naturals, for example, 114989 + ... + 116867.

It is an arithmetic number, because the mean of its divisors is an integer number (13105950).

Almost surely, 2^217828712 is an apocalyptic number.

It is an amenable number.

217828712 is a deficient number, since it is larger than the sum of its proper divisors (201561688).

217828712 is a wasteful number, since it uses less digits than its factorization.

217828712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2261 counting only the distinct ones).

The product of its digits is 25088, while the sum is 38.

The square root of 217828712 is about 14759.0213767716. The cubic root of 217828712 is about 601.6884956983.

The spelling of 217828712 in words is "two hundred seventeen million, eight hundred twenty-eight thousand, seven hundred twelve".