821045041 has 4 divisors (see below), whose sum is σ = 821102400. Its totient is φ = 820987684.

The previous prime is 821045009. The next prime is 821045051. The reversal of 821045041 is 140540128.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 821045041 - 2⁵ = 821045009 is a prime.

It is a super-3 number, since 3×821045041³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 821044997 and 821045015.

It is not an unprimeable number, because it can be changed into a prime (821045051) 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 3 ways as a sum of consecutive naturals, for example, 12540 + ... + 42418.

It is an arithmetic number, because the mean of its divisors is an integer number (205275600).

Almost surely, 2^821045041 is an apocalyptic number.

It is an amenable number.

821045041 is a deficient number, since it is larger than the sum of its proper divisors (57359).

821045041 is a wasteful number, since it uses less digits than its factorization.

821045041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57358.

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 821045041 is about 28653.8835238786. The cubic root of 821045041 is about 936.3876146957.

Adding to 821045041 its reverse (140540128), we get a palindrome (961585169).

The spelling of 821045041 in words is "eight hundred twenty-one million, forty-five thousand, forty-one".