10585353 has 16 divisors (see below), whose sum is σ = 14913536. Its totient is φ = 6667920.

The previous prime is 10585349. The next prime is 10585357. The reversal of 10585353 is 35358501.

It is an interprime number because it is at equal distance from previous prime (10585349) and next prime (10585357).

It is not a de Polignac number, because 10585353 - 2² = 10585349 is a prime.

It is a super-3 number, since 3×10585353³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10585353.

It is not an unprimeable number, because it can be changed into a prime (10585357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2676 + ... + 5322.

It is an arithmetic number, because the mean of its divisors is an integer number (932096).

Almost surely, 2^10585353 is an apocalyptic number.

It is an amenable number.

10585353 is a deficient number, since it is larger than the sum of its proper divisors (4328183).

10585353 is a wasteful number, since it uses less digits than its factorization.

10585353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724.

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 10585353 is about 3253.5139464892. The cubic root of 10585353 is about 219.5676979107.

It can be divided in two parts, 105 and 85353, that added together give a palindrome (85458).

The spelling of 10585353 in words is "ten million, five hundred eighty-five thousand, three hundred fifty-three".