826641 has 12 divisors (see below), whose sum is σ = 1217268. Its totient is φ = 540384.

The previous prime is 826621. The next prime is 826663. The reversal of 826641 is 146628.

It can be written as a sum of positive squares in 2 ways, for example, as 484416 + 342225 = 696^2 + 585^2 .

It is not a de Polignac number, because 826641 - 2⁹ = 826129 is a prime.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 390 + ... + 1343.

It is an arithmetic number, because the mean of its divisors is an integer number (101439).

2⁸²⁶⁶⁴¹ is an apocalyptic number.

It is an amenable number.

826641 is a deficient number, since it is larger than the sum of its proper divisors (390627).

826641 is a wasteful number, since it uses less digits than its factorization.

826641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1789 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 826641 is about 909.1979982380. The cubic root of 826641 is about 93.8510164481.

The spelling of 826641 in words is "eight hundred twenty-six thousand, six hundred forty-one".