9971792 has 40 divisors (see below), whose sum is σ = 20826792. Its totient is φ = 4608000.

The previous prime is 9971783. The next prime is 9971807. The reversal of 9971792 is 2971799.

It can be written as a sum of positive squares in 4 ways, for example, as 1700416 + 8271376 = 1304^2 + 2876^2 .

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16292 + ... + 16892.

Almost surely, 2^9971792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9971792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10413396).

9971792 is an abundant number, since it is smaller than the sum of its proper divisors (10855000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9971792 is a wasteful number, since it uses less digits than its factorization.

9971792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 681 counting only the distinct ones).

The product of its digits is 71442, while the sum is 44.

The square root of 9971792 is about 3157.8144340667. The cubic root of 9971792 is about 215.2407039178.

The spelling of 9971792 in words is "nine million, nine hundred seventy-one thousand, seven hundred ninety-two".