10217216 has 36 divisors (see below), whose sum is σ = 20640312. Its totient is φ = 5047296.

The previous prime is 10217213. The next prime is 10217237. The reversal of 10217216 is 61271201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10217213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27206 + ... + 27578.

It is an arithmetic number, because the mean of its divisors is an integer number (573342).

Almost surely, 2^10217216 is an apocalyptic number.

10217216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10217216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10320156).

10217216 is an abundant number, since it is smaller than the sum of its proper divisors (10423096).

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

10217216 is an equidigital number, since it uses as much as digits as its factorization.

10217216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 10217216 is about 3196.4380175439. The cubic root of 10217216 is about 216.9922342850.

Adding to 10217216 its reverse (61271201), we get a palindrome (71488417).

The spelling of 10217216 in words is "ten million, two hundred seventeen thousand, two hundred sixteen".