271661085 has 24 divisors (see below), whose sum is σ = 471643224. Its totient is φ = 144650880.

The previous prime is 271661077. The next prime is 271661087. The reversal of 271661085 is 580166172.

271661085 is a `hidden beast` number, since 27 + 16 + 610 + 8 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 96707556 + 174953529 = 9834^2 + 13227^2 .

It is not a de Polignac number, because 271661085 - 2³ = 271661077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271661087) 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 23 ways as a sum of consecutive naturals, for example, 25179 + ... + 34311.

It is an arithmetic number, because the mean of its divisors is an integer number (19651801).

Almost surely, 2^271661085 is an apocalyptic number.

It is an amenable number.

271661085 is a deficient number, since it is larger than the sum of its proper divisors (199982139).

271661085 is a wasteful number, since it uses less digits than its factorization.

271661085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9805 (or 9802 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 271661085 is about 16482.1444296548. The cubic root of 271661085 is about 647.6531422726.

The spelling of 271661085 in words is "two hundred seventy-one million, six hundred sixty-one thousand, eighty-five".