821041 has 8 divisors (see below), whose sum is σ = 892584. Its totient is φ = 750720.

The previous prime is 821039. The next prime is 821053. The reversal of 821041 is 140128.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18225 + 802816 = 135^2 + 896^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 821041 - 2¹ = 821039 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (821081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1551 + ... + 2011.

It is an arithmetic number, because the mean of its divisors is an integer number (111573).

2⁸²¹⁰⁴¹ is an apocalyptic number.

It is an amenable number.

821041 is a deficient number, since it is larger than the sum of its proper divisors (71543).

821041 is a wasteful number, since it uses less digits than its factorization.

821041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611.

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 821041 is about 906.1131275950. The cubic root of 821041 is about 93.6386078463.

Adding to 821041 its reverse (140128), we get a palindrome (961169).

It can be divided in two parts, 8210 and 41, that multiplied together give a triangular number (336610 = T₈₂₀).

The spelling of 821041 in words is "eight hundred twenty-one thousand, forty-one".