8100827 has 12 divisors (see below), whose sum is σ = 9729216. Its totient is φ = 6718320.

The previous prime is 8100811. The next prime is 8100871. The reversal of 8100827 is 7280018.

It is not a de Polignac number, because 8100827 - 2⁴ = 8100811 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8100796 and 8100805.

It is not an unprimeable number, because it can be changed into a prime (8100227) 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 in 11 ways as a sum of consecutive naturals, for example, 1148 + ... + 4185.

It is an arithmetic number, because the mean of its divisors is an integer number (810768).

Almost surely, 2^8100827 is an apocalyptic number.

8100827 is a deficient number, since it is larger than the sum of its proper divisors (1628389).

8100827 is a wasteful number, since it uses less digits than its factorization.

8100827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5378 (or 5371 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 8100827 is about 2846.1951795335. The cubic root of 8100827 is about 200.8367196198.

The spelling of 8100827 in words is "eight million, one hundred thousand, eight hundred twenty-seven".