10084417 has 16 divisors (see below), whose sum is σ = 12362112. Its totient is φ = 8029440.

The previous prime is 10084409. The next prime is 10084447. The reversal of 10084417 is 71448001.

It is not a de Polignac number, because 10084417 - 2³ = 10084409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10084391 and 10084400.

It is not an unprimeable number, because it can be changed into a prime (10084447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9367 + ... + 10387.

It is an arithmetic number, because the mean of its divisors is an integer number (772632).

Almost surely, 2^10084417 is an apocalyptic number.

10084417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10084417 is a deficient number, since it is larger than the sum of its proper divisors (2277695).

10084417 is a wasteful number, since it uses less digits than its factorization.

10084417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128.

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 10084417 is about 3175.5971092064. The cubic root of 10084417 is about 216.0480074477.

It can be divided in two parts, 10084 and 417, that added together give a palindrome (10501).

The spelling of 10084417 in words is "ten million, eighty-four thousand, four hundred seventeen".