10417216 has 28 divisors (see below), whose sum is σ = 20838160. Its totient is φ = 5166720.

The previous prime is 10417207. The next prime is 10417219. The reversal of 10417216 is 61271401.

It is not an unprimeable number, because it can be changed into a prime (10417219) 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, 8311 + ... + 9481.

It is an arithmetic number, because the mean of its divisors is an integer number (744220).

Almost surely, 2^10417216 is an apocalyptic number.

10417216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10417216 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

10417216 is a wasteful number, since it uses less digits than its factorization.

10417216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 10417216 is about 3227.5712230716. The cubic root of 10417216 is about 218.3989552115.

Adding to 10417216 its reverse (61271401), we get a palindrome (71688617).

The spelling of 10417216 in words is "ten million, four hundred seventeen thousand, two hundred sixteen".