8728164101 has 2 divisors, whose sum is σ = 8728164102. Its totient is φ = 8728164100.

The previous prime is 8728164041. The next prime is 8728164113. The reversal of 8728164101 is 1014618278.

It is a happy number.

8728164101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8635984900 + 92179201 = 92930^2 + 9601^2 .

It is a cyclic number.

It is not a de Polignac number, because 8728164101 - 2¹⁰ = 8728163077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8728169101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4364082050 + 4364082051.

It is an arithmetic number, because the mean of its divisors is an integer number (4364082051).

Almost surely, 2^8728164101 is an apocalyptic number.

It is an amenable number.

8728164101 is a deficient number, since it is larger than the sum of its proper divisors (1).

8728164101 is an equidigital number, since it uses as much as digits as its factorization.

8728164101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21504, while the sum is 38.

The square root of 8728164101 is about 93424.6439704214. The cubic root of 8728164101 is about 2058.9270892800.

The spelling of 8728164101 in words is "eight billion, seven hundred twenty-eight million, one hundred sixty-four thousand, one hundred one".