10004775 has 48 divisors (see below), whose sum is σ = 18415488. Its totient is φ = 4752000.

The previous prime is 10004719. The next prime is 10004801. The reversal of 10004775 is 57740001.

It is not a de Polignac number, because 10004775 - 2⁷ = 10004647 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 55185 + ... + 55365.

It is an arithmetic number, because the mean of its divisors is an integer number (383656).

Almost surely, 2^10004775 is an apocalyptic number.

10004775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10004775 is a deficient number, since it is larger than the sum of its proper divisors (8410713).

10004775 is a wasteful number, since it uses less digits than its factorization.

10004775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 10004775 is about 3163.0325638539. The cubic root of 10004775 is about 215.4777549654.

Adding to 10004775 its reverse (57740001), we get a palindrome (67744776).

It can be divided in two parts, 1000 and 4775, that added together give a palindrome (5775).

The spelling of 10004775 in words is "ten million, four thousand, seven hundred seventy-five".