10820821 has 8 divisors (see below), whose sum is σ = 12079584. Its totient is φ = 9607920.

The previous prime is 10820819. The next prime is 10820881. The reversal of 10820821 is 12802801.

10820821 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10820821 - 2¹ = 10820819 is a prime.

It is a super-2 number, since 2×10820821² = 234180334228082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10820792 and 10820801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10820801) 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, 10966 + ... + 11911.

It is an arithmetic number, because the mean of its divisors is an integer number (1509948).

Almost surely, 2^10820821 is an apocalyptic number.

10820821 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10820821 is a deficient number, since it is larger than the sum of its proper divisors (1258763).

10820821 is a wasteful number, since it uses less digits than its factorization.

10820821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22931.

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 10820821 is about 3289.5016339865. The cubic root of 10820821 is about 221.1838454369.

The spelling of 10820821 in words is "ten million, eight hundred twenty thousand, eight hundred twenty-one".