8127891 has 16 divisors (see below), whose sum is σ = 12085920. Its totient is φ = 5398560.

The previous prime is 8127883. The next prime is 8127919. The reversal of 8127891 is 1987218.

It is not a de Polignac number, because 8127891 - 2³ = 8127883 is a prime.

It is a super-2 number, since 2×8127891² = 132125224215762, which contains 22 as substring.

8127891 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8127811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12121 + ... + 12773.

It is an arithmetic number, because the mean of its divisors is an integer number (755370).

Almost surely, 2^8127891 is an apocalyptic number.

8127891 is a deficient number, since it is larger than the sum of its proper divisors (3958029).

8127891 is a wasteful number, since it uses less digits than its factorization.

8127891 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1117 counting only the distinct ones).

The product of its digits is 8064, while the sum is 36.

The square root of 8127891 is about 2850.9456325928. The cubic root of 8127891 is about 201.0601290367.

It can be divided in two parts, 81 and 27891, that added together give a palindrome (27972).

The spelling of 8127891 in words is "eight million, one hundred twenty-seven thousand, eight hundred ninety-one".