10821811 has 32 divisors (see below), whose sum is σ = 15321600. Its totient is φ = 7361280.

The previous prime is 10821781. The next prime is 10821829. The reversal of 10821811 is 11812801.

10821811 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10821811 - 2⁷ = 10821683 is a prime.

It is a super-2 number, since 2×10821811² = 234223186639442, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10821851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18735 + ... + 19303.

It is an arithmetic number, because the mean of its divisors is an integer number (478800).

Almost surely, 2^10821811 is an apocalyptic number.

10821811 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10821811 is a deficient number, since it is larger than the sum of its proper divisors (4499789).

10821811 is a wasteful number, since it uses less digits than its factorization.

10821811 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619.

The product of its (nonzero) digits is 128, while the sum is 22.

The square root of 10821811 is about 3289.6521092663. The cubic root of 10821811 is about 221.1905906223.

The spelling of 10821811 in words is "ten million, eight hundred twenty-one thousand, eight hundred eleven".