10820673 has 12 divisors (see below), whose sum is σ = 15664740. Its totient is φ = 7197696.

The previous prime is 10820651. The next prime is 10820699. The reversal of 10820673 is 37602801.

It can be written as a sum of positive squares in 2 ways, for example, as 535824 + 10284849 = 732^2 + 3207^2 .

It is not a de Polignac number, because 10820673 - 2¹⁰ = 10819649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10820473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4065 + ... + 6177.

It is an arithmetic number, because the mean of its divisors is an integer number (1305395).

Almost surely, 2^10820673 is an apocalyptic number.

It is an amenable number.

10820673 is a deficient number, since it is larger than the sum of its proper divisors (4844067).

10820673 is a wasteful number, since it uses less digits than its factorization.

10820673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10820673 is about 3289.4791381007. The cubic root of 10820673 is about 221.1828370304.

The spelling of 10820673 in words is "ten million, eight hundred twenty thousand, six hundred seventy-three".