8286642961 has 27 divisors (see below), whose sum is σ = 8908482609. Its totient is φ = 7707776832.

The previous prime is 8286642913. The next prime is 8286642997. The reversal of 8286642961 is 1692466828.

The square root of 8286642961 is 91031.

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

It can be written as a sum of positive squares in 4 ways, for example, as 70308225 + 8216334736 = 8385^2 + 90644^2 .

It is not a de Polignac number, because 8286642961 - 2²¹ = 8284545809 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8286642899 and 8286642908.

It is not an unprimeable number, because it can be changed into a prime (8286642901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 113515621 + ... + 113515693.

Almost surely, 2^8286642961 is an apocalyptic number.

8286642961 is the 91031-st square number.

8286642961 is the 45516-th centered octagonal number.

It is an amenable number.

8286642961 is a deficient number, since it is larger than the sum of its proper divisors (621839648).

8286642961 is an frugal number, since it uses more digits than its factorization.

8286642961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 145 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 52.

The cubic root of 8286642961 is about 2023.6071678761.

The spelling of 8286642961 in words is "eight billion, two hundred eighty-six million, six hundred forty-two thousand, nine hundred sixty-one".