8216127 has 8 divisors (see below), whose sum is σ = 12172080. Its totient is φ = 5477400.

The previous prime is 8216123. The next prime is 8216137. The reversal of 8216127 is 7216128.

It is not a de Polignac number, because 8216127 - 2² = 8216123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 304301 = 8216127 / (8 + 2 + 1 + 6 + 1 + 2 + 7).

8216127 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 8216127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8216123) 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 7 ways as a sum of consecutive naturals, for example, 152124 + ... + 152177.

It is an arithmetic number, because the mean of its divisors is an integer number (1521510).

Almost surely, 2^8216127 is an apocalyptic number.

8216127 is a deficient number, since it is larger than the sum of its proper divisors (3955953).

8216127 is a wasteful number, since it uses less digits than its factorization.

8216127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304310 (or 304304 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 8216127 is about 2866.3787258490. The cubic root of 8216127 is about 201.7850784074.

Subtracting from 8216127 its reverse (7216128), we obtain a palindrome (999999).

The spelling of 8216127 in words is "eight million, two hundred sixteen thousand, one hundred twenty-seven".