8072101 has 2 divisors, whose sum is σ = 8072102. Its totient is φ = 8072100.

The previous prime is 8072087. The next prime is 8072107. The reversal of 8072101 is 1012708.

8072101 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., 7568001 + 504100 = 2751^2 + 710^2 .

It is a cyclic number.

It is not a de Polignac number, because 8072101 - 2¹⁵ = 8039333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8072107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4036050 + 4036051.

It is an arithmetic number, because the mean of its divisors is an integer number (4036051).

Almost surely, 2^8072101 is an apocalyptic number.

It is an amenable number.

8072101 is a deficient number, since it is larger than the sum of its proper divisors (1).

8072101 is an equidigital number, since it uses as much as digits as its factorization.

8072101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 8072101 is about 2841.1443117167. The cubic root of 8072101 is about 200.5990455971.

Adding to 8072101 its reverse (1012708), we get a palindrome (9084809).

The spelling of 8072101 in words is "eight million, seventy-two thousand, one hundred one".