9972641 has 8 divisors (see below), whose sum is σ = 11481600. Its totient is φ = 8484768.

The previous prime is 9972631. The next prime is 9972649. The reversal of 9972641 is 1462799.

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 9972641 - 2⁶ = 9972577 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 9972595 and 9972604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9972649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4241 + ... + 6158.

It is an arithmetic number, because the mean of its divisors is an integer number (1435200).

Almost surely, 2^9972641 is an apocalyptic number.

It is an amenable number.

9972641 is a deficient number, since it is larger than the sum of its proper divisors (1508959).

9972641 is a wasteful number, since it uses less digits than its factorization.

9972641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10543.

The product of its digits is 27216, while the sum is 38.

The square root of 9972641 is about 3157.9488596239. The cubic root of 9972641 is about 215.2468122874.

The spelling of 9972641 in words is "nine million, nine hundred seventy-two thousand, six hundred forty-one".