10005575 has 12 divisors (see below), whose sum is σ = 12947088. Its totient is φ = 7656000.

The previous prime is 10005559. The next prime is 10005581. The reversal of 10005575 is 57550001.

It is not a de Polignac number, because 10005575 - 2⁴ = 10005559 is a prime.

It is a super-2 number, since 2×10005575² = 200223062161250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (23).

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 10005575.

It is a congruent number.

It is an unprimeable number.

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, 8126 + ... + 9275.

It is an arithmetic number, because the mean of its divisors is an integer number (1078924).

Almost surely, 2^10005575 is an apocalyptic number.

10005575 is a deficient number, since it is larger than the sum of its proper divisors (2941513).

10005575 is a wasteful number, since it uses less digits than its factorization.

10005575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17434 (or 17429 counting only the distinct ones).

The product of its (nonzero) digits is 875, while the sum is 23.

The square root of 10005575 is about 3163.1590222434. The cubic root of 10005575 is about 215.4834981434.

Adding to 10005575 its reverse (57550001), we get a palindrome (67555576).

The spelling of 10005575 in words is "ten million, five thousand, five hundred seventy-five".