10420585 has 12 divisors (see below), whose sum is σ = 14546628. Its totient is φ = 7145376.

The previous prime is 10420583. The next prime is 10420591. The reversal of 10420585 is 58502401.

It can be written as a sum of positive squares in 2 ways, for example, as 3493161 + 6927424 = 1869^2 + 2632^2 .

It is not a de Polignac number, because 10420585 - 2¹ = 10420583 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10420583) 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 in 11 ways as a sum of consecutive naturals, for example, 21022 + ... + 21511.

It is an arithmetic number, because the mean of its divisors is an integer number (1212219).

Almost surely, 2^10420585 is an apocalyptic number.

It is an amenable number.

10420585 is a deficient number, since it is larger than the sum of its proper divisors (4126043).

10420585 is an equidigital number, since it uses as much as digits as its factorization.

10420585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42552 (or 42545 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 10420585 is about 3228.0930903554. The cubic root of 10420585 is about 218.4224965869.

Adding to 10420585 its reverse (58502401), we get a palindrome (68922986).

The spelling of 10420585 in words is "ten million, four hundred twenty thousand, five hundred eighty-five".