9972417 has 16 divisors (see below), whose sum is σ = 16365440. Its totient is φ = 5260032.

The previous prime is 9972401. The next prime is 9972439. The reversal of 9972417 is 7142799.

It is not a de Polignac number, because 9972417 - 2⁴ = 9972401 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (9972497) 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, 17992 + ... + 18537.

It is an arithmetic number, because the mean of its divisors is an integer number (1022840).

Almost surely, 2^9972417 is an apocalyptic number.

It is an amenable number.

9972417 is a deficient number, since it is larger than the sum of its proper divisors (6393023).

9972417 is a wasteful number, since it uses less digits than its factorization.

9972417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36552.

The product of its digits is 31752, while the sum is 39.

The square root of 9972417 is about 3157.9133933659. The cubic root of 9972417 is about 215.2452006899.

The spelling of 9972417 in words is "nine million, nine hundred seventy-two thousand, four hundred seventeen".