10005753 has 4 divisors (see below), whose sum is σ = 13341008. Its totient is φ = 6670500.

The previous prime is 10005731. The next prime is 10005773. The reversal of 10005753 is 35750001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 10005753 - 2⁸ = 10005497 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10005703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1667623 + ... + 1667628.

It is an arithmetic number, because the mean of its divisors is an integer number (3335252).

Almost surely, 2^10005753 is an apocalyptic number.

It is an amenable number.

10005753 is a deficient number, since it is larger than the sum of its proper divisors (3335255).

10005753 is an equidigital number, since it uses as much as digits as its factorization.

10005753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3335254.

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 10005753 is about 3163.1871585475. The cubic root of 10005753 is about 215.4847759588.

Adding to 10005753 its reverse (35750001), we get a palindrome (45755754).

The spelling of 10005753 in words is "ten million, five thousand, seven hundred fifty-three".