827681 has 2 divisors, whose sum is σ = 827682. Its totient is φ = 827680.

The previous prime is 827677. The next prime is 827693. The reversal of 827681 is 186728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 781456 + 46225 = 884^2 + 215^2 .

It is a cyclic number.

It is not a de Polignac number, because 827681 - 2² = 827677 is a prime.

It is a super-2 number, since 2×827681² = 1370111675522, which contains 22 as substring.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 827681.

It is not a weakly prime, because it can be changed into another prime (827581) 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, 413840 + 413841.

It is an arithmetic number, because the mean of its divisors is an integer number (413841).

2⁸²⁷⁶⁸¹ is an apocalyptic number.

It is an amenable number.

827681 is a deficient number, since it is larger than the sum of its proper divisors (1).

827681 is an equidigital number, since it uses as much as digits as its factorization.

827681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5376, while the sum is 32.

The square root of 827681 is about 909.7697510909. The cubic root of 827681 is about 93.8903580540.

The spelling of 827681 in words is "eight hundred twenty-seven thousand, six hundred eighty-one".