971963712 has 280 divisors, whose sum is σ = 3136712040. Its totient is φ = 296386560.

The previous prime is 971963669. The next prime is 971963717. The reversal of 971963712 is 217369179.

971963712 is a `hidden beast` number, since 9 + 7 + 1 + 9 + 637 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 971942976 = 144^2 + 31176^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971963717) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3613114 + ... + 3613382.

It is an arithmetic number, because the mean of its divisors is an integer number (11202543).

Almost surely, 2^971963712 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 971963712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568356020).

971963712 is an abundant number, since it is smaller than the sum of its proper divisors (2164748328).

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

971963712 is a wasteful number, since it uses less digits than its factorization.

971963712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 332 counting only the distinct ones).

The product of its digits is 142884, while the sum is 45.

The square root of 971963712 is about 31176.3325617366. The cubic root of 971963712 is about 990.5658473199.

The spelling of 971963712 in words is "nine hundred seventy-one million, nine hundred sixty-three thousand, seven hundred twelve".