826681 has 2 divisors, whose sum is σ = 826682. Its totient is φ = 826680.

The previous prime is 826673. The next prime is 826697. The reversal of 826681 is 186628.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 826281 + 400 = 909^2 + 20^2 .

It is a cyclic number.

It is not a de Polignac number, because 826681 - 2³ = 826673 is a prime.

It is a super-2 number, since 2×826681² = 1366802951522, which contains 22 as substring.

It is equal to p₆₅₉₂₉ and since 826681 and 65929 have the same sum of digits, it is a Honaker prime.

It is a zygodrome in base 3.

It is not a weakly prime, because it can be changed into another prime (826621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413340 + 413341.

It is an arithmetic number, because the mean of its divisors is an integer number (413341).

2⁸²⁶⁶⁸¹ is an apocalyptic number.

It is an amenable number.

826681 is a deficient number, since it is larger than the sum of its proper divisors (1).

826681 is an equidigital number, since it uses as much as digits as its factorization.

826681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4608, while the sum is 31.

The square root of 826681 is about 909.2199953807. The cubic root of 826681 is about 93.8525301968.

The spelling of 826681 in words is "eight hundred twenty-six thousand, six hundred eighty-one".