271082961 has 12 divisors (see below), whose sum is σ = 391935492. Its totient is φ = 180550656.

The previous prime is 271082957. The next prime is 271083017. The reversal of 271082961 is 169280172.

It can be written as a sum of positive squares in 2 ways, for example, as 38825361 + 232257600 = 6231^2 + 15240^2 .

It is not a de Polignac number, because 271082961 - 2² = 271082957 is a prime.

It is not an unprimeable number, because it can be changed into a prime (271082261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3856 + ... + 23601.

It is an arithmetic number, because the mean of its divisors is an integer number (32661291).

Almost surely, 2^271082961 is an apocalyptic number.

It is an amenable number.

271082961 is a deficient number, since it is larger than the sum of its proper divisors (120852531).

271082961 is a wasteful number, since it uses less digits than its factorization.

271082961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28560 (or 28557 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 271082961 is about 16464.5972012679. The cubic root of 271082961 is about 647.1933908089.

The spelling of 271082961 in words is "two hundred seventy-one million, eighty-two thousand, nine hundred sixty-one".