971655747076 has 81 divisors (see below), whose sum is σ = 1994128373727. Its totient is φ = 413058623040.

The previous prime is 971655747053. The next prime is 971655747103. The reversal of 971655747076 is 670747556179.

The square root of 971655747076 is 985726.

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

It can be written as a sum of positive squares in 4 ways, for example, as 650484188676 + 321171558400 = 806526^2 + 566720^2 .

It is a super-2 number, since 2×971655747076² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 971655746999 and 971655747017.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2497829490 + ... + 2497829878.

Almost surely, 2^971655747076 is an apocalyptic number.

971655747076 is the 985726-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 971655747076

971655747076 is an abundant number, since it is smaller than the sum of its proper divisors (1022472626651).

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

971655747076 is an equidigital number, since it uses as much as digits as its factorization.

971655747076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 77792400, while the sum is 64.

Multiplying 971655747076 by its sum of digits (64), we get a square (62185967812864 = 7885808²).

The spelling of 971655747076 in words is "nine hundred seventy-one billion, six hundred fifty-five million, seven hundred forty-seven thousand, seventy-six".