84712009 has 2 divisors, whose sum is σ = 84712010. Its totient is φ = 84712008.

The previous prime is 84711997. The next prime is 84712031. The reversal of 84712009 is 90021748.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 44262409 + 40449600 = 6653^2 + 6360^2 .

It is a cyclic number.

It is not a de Polignac number, because 84712009 - 2²⁵ = 51157577 is a prime.

It is a super-2 number, since 2×84712009² = 14352248937632162, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (84712409) 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, 42356004 + 42356005.

It is an arithmetic number, because the mean of its divisors is an integer number (42356005).

Almost surely, 2^84712009 is an apocalyptic number.

It is an amenable number.

84712009 is a deficient number, since it is larger than the sum of its proper divisors (1).

84712009 is an equidigital number, since it uses as much as digits as its factorization.

84712009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 84712009 is about 9203.9127005856. The cubic root of 84712009 is about 439.1858377484.

The spelling of 84712009 in words is "eighty-four million, seven hundred twelve thousand, nine".