8100821 has 8 divisors (see below), whose sum is σ = 8736000. Its totient is φ = 7486560.

The previous prime is 8100811. The next prime is 8100871. The reversal of 8100821 is 1280018.

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 8100821 - 2¹⁰ = 8099797 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8100793 and 8100802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8100811) 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, 4421 + ... + 5978.

It is an arithmetic number, because the mean of its divisors is an integer number (1092000).

Almost surely, 2^8100821 is an apocalyptic number.

It is an amenable number.

8100821 is a deficient number, since it is larger than the sum of its proper divisors (635179).

8100821 is a wasteful number, since it uses less digits than its factorization.

8100821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10459.

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 8100821 is about 2846.1941254946. The cubic root of 8100821 is about 200.8366700356.

Adding to 8100821 its reverse (1280018), we get a palindrome (9380839).

The spelling of 8100821 in words is "eight million, one hundred thousand, eight hundred twenty-one".