83132106817761 has 27 divisors (see below), whose sum is σ = 120374820509619. Its totient is φ = 55285532862912.

The previous prime is 83132106817751. The next prime is 83132106817829. The reversal of 83132106817761 is 16771860123138.

The square root of 83132106817761 is 9117681.

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

83132106817761 is a `hidden beast` number, since 8 + 31 + 321 + 0 + 68 + 177 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9322427160225 + 73809679657536 = 3053265^2 + 8591256^2 .

It is not a de Polignac number, because 83132106817761 - 2⁵ = 83132106817729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 83132106817698 and 83132106817707.

It is not an unprimeable number, because it can be changed into a prime (83132106817751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11843864110 + ... + 11843871128.

Almost surely, 2^{83132106817761} is an apocalyptic number.

83132106817761 is the 9117681-st square number.

83132106817761 is the 4558841-st centered octagonal number.

It is an amenable number.

83132106817761 is a deficient number, since it is larger than the sum of its proper divisors (37242713691858).

83132106817761 is an frugal number, since it uses more digits than its factorization.

83132106817761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14910 (or 7455 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 83132106817761 in words is "eighty-three trillion, one hundred thirty-two billion, one hundred six million, eight hundred seventeen thousand, seven hundred sixty-one".