8672638129 has 9 divisors (see below), whose sum is σ = 9068343403. Its totient is φ = 8293518112.

The previous prime is 8672638127. The next prime is 8672638133. The reversal of 8672638129 is 9218362768.

The square root of 8672638129 is 93127.

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

8672638129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2118116529 + 6554521600 = 46023^2 + 80960^2 .

It is not a de Polignac number, because 8672638129 - 2¹ = 8672638127 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8672638127) 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 8 ways as a sum of consecutive naturals, for example, 2139897 + ... + 2143945.

Almost surely, 2^8672638129 is an apocalyptic number.

8672638129 is the 93127-th square number.

8672638129 is the 46564-th centered octagonal number.

It is an amenable number.

8672638129 is a deficient number, since it is larger than the sum of its proper divisors (395705274).

8672638129 is an frugal number, since it uses more digits than its factorization.

8672638129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8144 (or 4072 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 52.

The cubic root of 8672638129 is about 2054.5517048497.

The spelling of 8672638129 in words is "eight billion, six hundred seventy-two million, six hundred thirty-eight thousand, one hundred twenty-nine".