821061441 has 40 divisors (see below), whose sum is σ = 1251554304. Its totient is φ = 536310720.

The previous prime is 821061433. The next prime is 821061469. The reversal of 821061441 is 144160128.

It is a happy number.

821061441 is a `hidden beast` number, since 8 + 2 + 1 + 0 + 614 + 41 = 666.

It is not a de Polignac number, because 821061441 - 2³ = 821061433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (821061491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1129020 + ... + 1129746.

Almost surely, 2^821061441 is an apocalyptic number.

821061441 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

821061441 is a deficient number, since it is larger than the sum of its proper divisors (430492863).

821061441 is a wasteful number, since it uses less digits than its factorization.

821061441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 821061441 is about 28654.1696965730. The cubic root of 821061441 is about 936.3938492926.

The spelling of 821061441 in words is "eight hundred twenty-one million, sixty-one thousand, four hundred forty-one".