827009 has 2 divisors, whose sum is σ = 827010. Its totient is φ = 827008.

The previous prime is 826997. The next prime is 827023. The reversal of 827009 is 900728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 529984 + 297025 = 728^2 + 545^2 .

It is a cyclic number.

It is not a de Polignac number, because 827009 - 2⁸ = 826753 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (827039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413504 + 413505.

It is an arithmetic number, because the mean of its divisors is an integer number (413505).

2⁸²⁷⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

827009 is a deficient number, since it is larger than the sum of its proper divisors (1).

827009 is an equidigital number, since it uses as much as digits as its factorization.

827009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 827009 is about 909.4003518803. The cubic root of 827009 is about 93.8649410943.

The spelling of 827009 in words is "eight hundred twenty-seven thousand, nine".