8219137 has 2 divisors, whose sum is σ = 8219138. Its totient is φ = 8219136.

The previous prime is 8219131. The next prime is 8219171. The reversal of 8219137 is 7319128.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8202496 + 16641 = 2864^2 + 129^2 .

It is a cyclic number.

It is not a de Polignac number, because 8219137 - 2⁷ = 8219009 is a prime.

It is a super-3 number, since 3×8219137³ (a number of 22 digits) contains 333 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 8219099 and 8219108.

It is not a weakly prime, because it can be changed into another prime (8219131) 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 as a sum of consecutive naturals, namely, 4109568 + 4109569.

It is an arithmetic number, because the mean of its divisors is an integer number (4109569).

Almost surely, 2^8219137 is an apocalyptic number.

It is an amenable number.

8219137 is a deficient number, since it is larger than the sum of its proper divisors (1).

8219137 is an equidigital number, since it uses as much as digits as its factorization.

8219137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 31.

The square root of 8219137 is about 2866.9037305079. The cubic root of 8219137 is about 201.8097168991.

Subtracting from 8219137 its reverse (7319128), we obtain a palindrome (900009).

It can be divided in two parts, 82191 and 37, that added together give a palindrome (82228).

The spelling of 8219137 in words is "eight million, two hundred nineteen thousand, one hundred thirty-seven".