10585417 has 2 divisors, whose sum is σ = 10585418. Its totient is φ = 10585416.

The previous prime is 10585409. The next prime is 10585427. The reversal of 10585417 is 71458501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10137856 + 447561 = 3184^2 + 669^2 .

It is a cyclic number.

It is not a de Polignac number, because 10585417 - 2³ = 10585409 is a prime.

It is a super-2 number, since 2×10585417² = 224102106127778, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10585427) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5292708 + 5292709.

It is an arithmetic number, because the mean of its divisors is an integer number (5292709).

Almost surely, 2^10585417 is an apocalyptic number.

It is an amenable number.

10585417 is a deficient number, since it is larger than the sum of its proper divisors (1).

10585417 is an equidigital number, since it uses as much as digits as its factorization.

10585417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5600, while the sum is 31.

The square root of 10585417 is about 3253.5237819939. The cubic root of 10585417 is about 219.5681404185.

The spelling of 10585417 in words is "ten million, five hundred eighty-five thousand, four hundred seventeen".