971961346161 has 81 divisors (see below), whose sum is σ = 1616020677921. Its totient is φ = 562567359744.

The previous prime is 971961346067. The next prime is 971961346183. The reversal of 971961346161 is 161643169179.

The square root of 971961346161 is 985881.

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

971961346161 is a `hidden beast` number, since 9 + 7 + 1 + 9 + 6 + 13 + 4 + 616 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8776129761 + 963185216400 = 93681^2 + 981420^2 .

It is not a de Polignac number, because 971961346161 - 2¹¹ = 971961344113 is a prime.

It is a super-2 number, since 2×971961346161² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 971961346098 and 971961346107.

It is not an unprimeable number, because it can be changed into a prime (971961346261) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 653638360 + ... + 653639846.

Almost surely, 2^971961346161 is an apocalyptic number.

971961346161 is the 985881-st square number.

971961346161 is the 492941-st centered octagonal number.

It is an amenable number.

971961346161 is a deficient number, since it is larger than the sum of its proper divisors (644059331760).

971961346161 is a wasteful number, since it uses less digits than its factorization.

971961346161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3040 (or 1520 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The spelling of 971961346161 in words is "nine hundred seventy-one billion, nine hundred sixty-one million, three hundred forty-six thousand, one hundred sixty-one".