971268792 has 64 divisors (see below), whose sum is σ = 2625346080. Its totient is φ = 297664512.

The previous prime is 971268791. The next prime is 971268839. The reversal of 971268792 is 297862179.

971268792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971268791) 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, 74128 + ... + 86240.

Almost surely, 2^971268792 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 971268792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312673040).

971268792 is an abundant number, since it is smaller than the sum of its proper divisors (1654077288).

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

971268792 is a wasteful number, since it uses less digits than its factorization.

971268792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12392 (or 12388 counting only the distinct ones).

The product of its digits is 762048, while the sum is 51.

The square root of 971268792 is about 31165.1855762163. The cubic root of 971268792 is about 990.3297177445.

The spelling of 971268792 in words is "nine hundred seventy-one million, two hundred sixty-eight thousand, seven hundred ninety-two".