8189101 has 2 divisors, whose sum is σ = 8189102. Its totient is φ = 8189100.

The previous prime is 8189063. The next prime is 8189119. The reversal of 8189101 is 1019818.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7590025 + 599076 = 2755^2 + 774^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8189101 is a prime.

It is a super-2 number, since 2×8189101² = 134122750376402, which contains 22 as substring.

8189101 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 8189101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8189131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4094550 + 4094551.

It is an arithmetic number, because the mean of its divisors is an integer number (4094551).

Almost surely, 2^8189101 is an apocalyptic number.

It is an amenable number.

8189101 is a deficient number, since it is larger than the sum of its proper divisors (1).

8189101 is an equidigital number, since it uses as much as digits as its factorization.

8189101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 28.

The square root of 8189101 is about 2861.6605319290. The cubic root of 8189101 is about 201.5635858083.

The spelling of 8189101 in words is "eight million, one hundred eighty-nine thousand, one hundred one".