826461 has 12 divisors (see below), whose sum is σ = 1201980. Its totient is φ = 547200.

The previous prime is 826453. The next prime is 826477. The reversal of 826461 is 164628.

It can be written as a sum of positive squares in 2 ways, for example, as 799236 + 27225 = 894^2 + 165^2 .

It is not a de Polignac number, because 826461 - 2³ = 826453 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826411) 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 in 11 ways as a sum of consecutive naturals, for example, 1861 + ... + 2261.

It is an arithmetic number, because the mean of its divisors is an integer number (100165).

2⁸²⁶⁴⁶¹ is an apocalyptic number.

It is an amenable number.

826461 is a deficient number, since it is larger than the sum of its proper divisors (375519).

826461 is a wasteful number, since it uses less digits than its factorization.

826461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 633 counting only the distinct ones).

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

The square root of 826461 is about 909.0990045094. The cubic root of 826461 is about 93.8442039748.

The spelling of 826461 in words is "eight hundred twenty-six thousand, four hundred sixty-one".