2971298961 has 6 divisors (see below), whose sum is σ = 4291876290. Its totient is φ = 1980865968.

The previous prime is 2971298933. The next prime is 2971298963. The reversal of 2971298961 is 1698921792.

2971298961 is a `hidden beast` number, since 297 + 1 + 298 + 9 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2713889025 + 257409936 = 52095^2 + 16044^2 .

It is not a de Polignac number, because 2971298961 - 2⁷ = 2971298833 is a prime.

It is a super-3 number, since 3×2971298961³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2971298898 and 2971298907.

It is not an unprimeable number, because it can be changed into a prime (2971298963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 165072156 + ... + 165072173.

It is an arithmetic number, because the mean of its divisors is an integer number (715312715).

Almost surely, 2^2971298961 is an apocalyptic number.

It is an amenable number.

2971298961 is a deficient number, since it is larger than the sum of its proper divisors (1320577329).

2971298961 is a wasteful number, since it uses less digits than its factorization.

2971298961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330144335 (or 330144332 counting only the distinct ones).

The product of its digits is 979776, while the sum is 54.

The square root of 2971298961 is about 54509.6226459145. The cubic root of 2971298961 is about 1437.6354844047.

The spelling of 2971298961 in words is "two billion, nine hundred seventy-one million, two hundred ninety-eight thousand, nine hundred sixty-one".