10820973 has 16 divisors (see below), whose sum is σ = 15177600. Its totient is φ = 6847680.

The previous prime is 10820947. The next prime is 10820981. The reversal of 10820973 is 37902801.

It is a happy number.

It is not a de Polignac number, because 10820973 - 2¹⁴ = 10804589 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10820973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10820903) 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 15 ways as a sum of consecutive naturals, for example, 4288 + ... + 6326.

It is an arithmetic number, because the mean of its divisors is an integer number (948600).

Almost surely, 2^10820973 is an apocalyptic number.

It is an amenable number.

10820973 is a deficient number, since it is larger than the sum of its proper divisors (4356627).

10820973 is a wasteful number, since it uses less digits than its factorization.

10820973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 10820973 is about 3289.5247377091. The cubic root of 10820973 is about 221.1848810881.

The spelling of 10820973 in words is "ten million, eight hundred twenty thousand, nine hundred seventy-three".