827417 has 2 divisors, whose sum is σ = 827418. Its totient is φ = 827416.

The previous prime is 827389. The next prime is 827423. The reversal of 827417 is 714728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 817216 + 10201 = 904^2 + 101^2 .

It is a cyclic number.

It is not a de Polignac number, because 827417 - 2⁸ = 827161 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 827417.

It is not a weakly prime, because it can be changed into another prime (827447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413708 + 413709.

It is an arithmetic number, because the mean of its divisors is an integer number (413709).

2⁸²⁷⁴¹⁷ is an apocalyptic number.

It is an amenable number.

827417 is a deficient number, since it is larger than the sum of its proper divisors (1).

827417 is an equidigital number, since it uses as much as digits as its factorization.

827417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3136, while the sum is 29.

The square root of 827417 is about 909.6246478631. The cubic root of 827417 is about 93.8803744611.

The spelling of 827417 in words is "eight hundred twenty-seven thousand, four hundred seventeen".