8101591 has 2 divisors, whose sum is σ = 8101592. Its totient is φ = 8101590.

The previous prime is 8101567. The next prime is 8101607. The reversal of 8101591 is 1951018.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 8101591 - 2⁷ = 8101463 is a prime.

8101591 is a lucky number.

It is equal to p₅₄₆₁₁₈ and since 8101591 and 546118 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8107591) 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 as a sum of consecutive naturals, namely, 4050795 + 4050796.

It is an arithmetic number, because the mean of its divisors is an integer number (4050796).

Almost surely, 2^8101591 is an apocalyptic number.

8101591 is a deficient number, since it is larger than the sum of its proper divisors (1).

8101591 is an equidigital number, since it uses as much as digits as its factorization.

8101591 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 25.

The square root of 8101591 is about 2846.3293906363. The cubic root of 8101591 is about 200.8430331493.

It can be divided in two parts, 810 and 1591, that added together give a 4-th power (2401 = 7⁴).

The spelling of 8101591 in words is "eight million, one hundred one thousand, five hundred ninety-one".