827369 has 2 divisors, whose sum is σ = 827370. Its totient is φ = 827368.

The previous prime is 827347. The next prime is 827389. The reversal of 827369 is 963728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 473344 + 354025 = 688^2 + 595^2 .

It is a cyclic number.

It is not a de Polignac number, because 827369 - 2¹⁶ = 761833 is a prime.

It is a super-2 number, since 2×827369² = 1369078924322, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 827369.

It is not a weakly prime, because it can be changed into another prime (827389) 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, 413684 + 413685.

It is an arithmetic number, because the mean of its divisors is an integer number (413685).

2⁸²⁷³⁶⁹ is an apocalyptic number.

It is an amenable number.

827369 is a deficient number, since it is larger than the sum of its proper divisors (1).

827369 is an equidigital number, since it uses as much as digits as its factorization.

827369 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18144, while the sum is 35.

The square root of 827369 is about 909.5982629711. The cubic root of 827369 is about 93.8785590343.

The spelling of 827369 in words is "eight hundred twenty-seven thousand, three hundred sixty-nine".