8102009 has 2 divisors, whose sum is σ = 8102010. Its totient is φ = 8102008.

The previous prime is 8101997. The next prime is 8102041. The reversal of 8102009 is 9002018.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6150400 + 1951609 = 2480^2 + 1397^2 .

It is a cyclic number.

It is not a de Polignac number, because 8102009 - 2¹⁶ = 8036473 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (8102089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4051004 + 4051005.

It is an arithmetic number, because the mean of its divisors is an integer number (4051005).

Almost surely, 2^8102009 is an apocalyptic number.

It is an amenable number.

8102009 is a deficient number, since it is larger than the sum of its proper divisors (1).

8102009 is an equidigital number, since it uses as much as digits as its factorization.

8102009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 8102009 is about 2846.4028175928. The cubic root of 8102009 is about 200.8464872422.

Subtracting 8102009 from its reverse (9002018), we obtain a palindrome (900009).

The spelling of 8102009 in words is "eight million, one hundred two thousand, nine".