8100073 has 2 divisors, whose sum is σ = 8100074. Its totient is φ = 8100072.

The previous prime is 8099999. The next prime is 8100091. The reversal of 8100073 is 3700018.

8100073 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., 8082649 + 17424 = 2843^2 + 132^2 .

It is a cyclic number.

It is not a de Polignac number, because 8100073 - 2⁹ = 8099561 is a prime.

It is a super-2 number, since 2×8100073² = 131222365210658, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8100073.

It is not a weakly prime, because it can be changed into another prime (8100173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4050036 + 4050037.

It is an arithmetic number, because the mean of its divisors is an integer number (4050037).

Almost surely, 2^8100073 is an apocalyptic number.

It is an amenable number.

8100073 is a deficient number, since it is larger than the sum of its proper divisors (1).

8100073 is an equidigital number, since it uses as much as digits as its factorization.

8100073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 8100073 is about 2846.0627189154. The cubic root of 8100073 is about 200.8304883390.

The spelling of 8100073 in words is "eight million, one hundred thousand, seventy-three".