84164009 has 2 divisors, whose sum is σ = 84164010. Its totient is φ = 84164008.

The previous prime is 84163999. The next prime is 84164099. The reversal of 84164009 is 90046148.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80496784 + 3667225 = 8972^2 + 1915^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-84164009 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (84164099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42082004 + 42082005.

It is an arithmetic number, because the mean of its divisors is an integer number (42082005).

Almost surely, 2^84164009 is an apocalyptic number.

It is an amenable number.

84164009 is a deficient number, since it is larger than the sum of its proper divisors (1).

84164009 is an equidigital number, since it uses as much as digits as its factorization.

84164009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 84164009 is about 9174.0944512251. The cubic root of 84164009 is about 438.2367606487.

It can be divided in two parts, 841 and 64009, that multiplied together give a square (53831569 = 7337²).

The spelling of 84164009 in words is "eighty-four million, one hundred sixty-four thousand, nine".