27932771161 has 9 divisors (see below), whose sum is σ = 28240096671. Its totient is φ = 27628759872.

The previous prime is 27932771149. The next prime is 27932771171. The reversal of 27932771161 is 16117723972.

The square root of 27932771161 is 167131.

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

It can be written as a sum of positive squares in only one way, i.e., 12542880025 + 15389891136 = 111995^2 + 124056^2 .

It is a de Polignac number, because none of the positive numbers 2^k-27932771161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27932771171) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16210846 + ... + 16212568.

It is an arithmetic number, because the mean of its divisors is an integer number (3137788519).

Almost surely, 2^27932771161 is an apocalyptic number.

27932771161 is the 167131-st square number.

27932771161 is the 83566-th centered octagonal number.

It is an amenable number.

27932771161 is a deficient number, since it is larger than the sum of its proper divisors (307325510).

27932771161 is an frugal number, since it uses more digits than its factorization.

27932771161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640 (or 1820 counting only the distinct ones).

The product of its digits is 222264, while the sum is 46.

The spelling of 27932771161 in words is "twenty-seven billion, nine hundred thirty-two million, seven hundred seventy-one thousand, one hundred sixty-one".