10016417 has 8 divisors (see below), whose sum is σ = 10806696. Its totient is φ = 9248512.

The previous prime is 10016411. The next prime is 10016429. The reversal of 10016417 is 71461001.

It can be written as a sum of positive squares in 4 ways, for example, as 1745041 + 8271376 = 1321^2 + 2876^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10016417 - 2⁶ = 10016353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10016411) 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 7 ways as a sum of consecutive naturals, for example, 4658 + ... + 6459.

It is an arithmetic number, because the mean of its divisors is an integer number (1350837).

Almost surely, 2^10016417 is an apocalyptic number.

10016417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10016417 is a deficient number, since it is larger than the sum of its proper divisors (790279).

10016417 is a wasteful number, since it uses less digits than its factorization.

10016417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11187.

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

The square root of 10016417 is about 3164.8723512963. The cubic root of 10016417 is about 215.5613023920.

Adding to 10016417 its reverse (71461001), we get a palindrome (81477418).

The spelling of 10016417 in words is "ten million, sixteen thousand, four hundred seventeen".