10580921 has 12 divisors (see below), whose sum is σ = 11566332. Its totient is φ = 9674496.

The previous prime is 10580893. The next prime is 10580959. The reversal of 10580921 is 12908501.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 212521 + 10368400 = 461^2 + 3220^2 .

It is not a de Polignac number, because 10580921 - 2¹⁴ = 10564537 is a prime.

It is a super-2 number, since 2×10580921² = 223911778416482, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10580971) 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 11 ways as a sum of consecutive naturals, for example, 22925 + ... + 23381.

It is an arithmetic number, because the mean of its divisors is an integer number (963861).

Almost surely, 2^10580921 is an apocalyptic number.

It is an amenable number.

10580921 is a deficient number, since it is larger than the sum of its proper divisors (985411).

10580921 is a wasteful number, since it uses less digits than its factorization.

10580921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 10580921 is about 3252.8327654523. The cubic root of 10580921 is about 219.5370499048.

The spelling of 10580921 in words is "ten million, five hundred eighty thousand, nine hundred twenty-one".