814987009 has 2 divisors, whose sum is σ = 814987010. Its totient is φ = 814987008.

The previous prime is 814986979. The next prime is 814987013. The reversal of 814987009 is 900789418.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 507510784 + 307476225 = 22528^2 + 17535^2 .

It is a cyclic number.

It is not a de Polignac number, because 814987009 - 2¹⁵ = 814954241 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 814987009.

It is not a weakly prime, because it can be changed into another prime (814987039) 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, 407493504 + 407493505.

It is an arithmetic number, because the mean of its divisors is an integer number (407493505).

Almost surely, 2^814987009 is an apocalyptic number.

It is an amenable number.

814987009 is a deficient number, since it is larger than the sum of its proper divisors (1).

814987009 is an equidigital number, since it uses as much as digits as its factorization.

814987009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145152, while the sum is 46.

The square root of 814987009 is about 28547.9773188925. The cubic root of 814987009 is about 934.0789003405.

The spelling of 814987009 in words is "eight hundred fourteen million, nine hundred eighty-seven thousand, nine".