826849 has 2 divisors, whose sum is σ = 826850. Its totient is φ = 826848.

The previous prime is 826831. The next prime is 826867. The reversal of 826849 is 948628.

It is a balanced prime because it is at equal distance from previous prime (826831) and next prime (826867).

It can be written as a sum of positive squares in only one way, i.e., 672400 + 154449 = 820^2 + 393^2 .

It is a cyclic number.

It is not a de Polignac number, because 826849 - 2¹¹ = 824801 is a prime.

826849 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (826879) 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, 413424 + 413425.

It is an arithmetic number, because the mean of its divisors is an integer number (413425).

2⁸²⁶⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

826849 is a deficient number, since it is larger than the sum of its proper divisors (1).

826849 is an equidigital number, since it uses as much as digits as its factorization.

826849 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27648, while the sum is 37.

The square root of 826849 is about 909.3123775689. The cubic root of 826849 is about 93.8588874080.

The spelling of 826849 in words is "eight hundred twenty-six thousand, eight hundred forty-nine".