10421585 has 16 divisors (see below), whose sum is σ = 13260240. Its totient is φ = 7848960.

The previous prime is 10421581. The next prime is 10421617. The reversal of 10421585 is 58512401.

It can be written as a sum of positive squares in 8 ways, for example, as 3806401 + 6615184 = 1951^2 + 2572^2 .

It is not a de Polignac number, because 10421585 - 2² = 10421581 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10421581) 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 15 ways as a sum of consecutive naturals, for example, 5069 + ... + 6821.

It is an arithmetic number, because the mean of its divisors is an integer number (828765).

Almost surely, 2^10421585 is an apocalyptic number.

It is an amenable number.

10421585 is a deficient number, since it is larger than the sum of its proper divisors (2838655).

10421585 is a wasteful number, since it uses less digits than its factorization.

10421585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828.

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 10421585 is about 3228.2479768444. The cubic root of 10421585 is about 218.4294832551.

Adding to 10421585 its reverse (58512401), we get a palindrome (68933986).

The spelling of 10421585 in words is "ten million, four hundred twenty-one thousand, five hundred eighty-five".