84866759761 has 9 divisors (see below), whose sum is σ = 98724929499. Its totient is φ = 72741189024.

The previous prime is 84866759743. The next prime is 84866759767. The reversal of 84866759761 is 16795766848.

The square root of 84866759761 is 291319.

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., 84858603025 + 8156736 = 291305^2 + 2856^2 .

It is not a de Polignac number, because 84866759761 - 2⁹ = 84866759249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (84866759767) 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, 2018425 + ... + 2060041.

It is an arithmetic number, because the mean of its divisors is an integer number (10969436611).

Almost surely, 2^84866759761 is an apocalyptic number.

84866759761 is the 291319-th square number.

84866759761 is the 145660-th centered octagonal number.

It is an amenable number.

84866759761 is a deficient number, since it is larger than the sum of its proper divisors (13858169738).

84866759761 is an frugal number, since it uses more digits than its factorization.

84866759761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83248 (or 41624 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 67.

The spelling of 84866759761 in words is "eighty-four billion, eight hundred sixty-six million, seven hundred fifty-nine thousand, seven hundred sixty-one".