10585331 has 2 divisors, whose sum is σ = 10585332. Its totient is φ = 10585330.

The previous prime is 10585327. The next prime is 10585343. The reversal of 10585331 is 13358501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10585331 - 2² = 10585327 is a prime.

It is a super-2 number, since 2×10585331² = 224098464759122, which contains 22 as substring.

It is a Chen prime.

It is equal to p₇₀₀₈₈₃ and since 10585331 and 700883 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10585331.

It is not a weakly prime, because it can be changed into another prime (10585321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5292665 + 5292666.

It is an arithmetic number, because the mean of its divisors is an integer number (5292666).

Almost surely, 2^10585331 is an apocalyptic number.

10585331 is a deficient number, since it is larger than the sum of its proper divisors (1).

10585331 is an equidigital number, since it uses as much as digits as its factorization.

10585331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 10585331 is about 3253.5105655276. The cubic root of 10585331 is about 219.5675457982.

The spelling of 10585331 in words is "ten million, five hundred eighty-five thousand, three hundred thirty-one".