8972067841 has 27 divisors (see below), whose sum is σ = 10080749763. Its totient is φ = 7979297040.

The previous prime is 8972067829. The next prime is 8972067899. The reversal of 8972067841 is 1487602798.

The square root of 8972067841 is 94721.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6253488241 + 2718579600 = 79079^2 + 52140^2 .

It is not a de Polignac number, because 8972067841 - 2⁵ = 8972067809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8972067341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 82312495 + ... + 82312603.

Almost surely, 2^8972067841 is an apocalyptic number.

8972067841 is the 94721-st square number.

8972067841 is the 47361-st centered octagonal number.

It is an amenable number.

8972067841 is a deficient number, since it is larger than the sum of its proper divisors (1108681922).

8972067841 is an equidigital number, since it uses as much as digits as its factorization.

8972067841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 52.

The cubic root of 8972067841 is about 2077.9296955307.

The spelling of 8972067841 in words is "eight billion, nine hundred seventy-two million, sixty-seven thousand, eight hundred forty-one".