10585361 has 4 divisors (see below), whose sum is σ = 10592292. Its totient is φ = 10578432.

The previous prime is 10585357. The next prime is 10585363. The reversal of 10585361 is 16358501.

10585361 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 16358501 = 2003 ⋅8167.

It can be written as a sum of positive squares in 2 ways, for example, as 5382400 + 5202961 = 2320^2 + 2281^2 .

It is a cyclic number.

It is not a de Polignac number, because 10585361 - 2² = 10585357 is a prime.

It is a super-2 number, since 2×10585361² = 224099735000642, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10585363) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56 + ... + 4601.

It is an arithmetic number, because the mean of its divisors is an integer number (2648073).

Almost surely, 2^10585361 is an apocalyptic number.

It is an amenable number.

10585361 is a deficient number, since it is larger than the sum of its proper divisors (6931).

10585361 is an equidigital number, since it uses as much as digits as its factorization.

10585361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6930.

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 10585361 is about 3253.5151759290. The cubic root of 10585361 is about 219.5677532242.

The spelling of 10585361 in words is "ten million, five hundred eighty-five thousand, three hundred sixty-one".