10005763 has 4 divisors (see below), whose sum is σ = 10249848. Its totient is φ = 9761680.

The previous prime is 10005731. The next prime is 10005773. The reversal of 10005763 is 36750001.

10005763 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 36750001 = 1831 ⋅20071.

It is a cyclic number.

It is not a de Polignac number, because 10005763 - 2⁵ = 10005731 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 121981 + ... + 122062.

It is an arithmetic number, because the mean of its divisors is an integer number (2562462).

Almost surely, 2^10005763 is an apocalyptic number.

10005763 is a deficient number, since it is larger than the sum of its proper divisors (244085).

10005763 is an equidigital number, since it uses as much as digits as its factorization.

10005763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244084.

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 10005763 is about 3163.1887392313. The cubic root of 10005763 is about 215.4848477457.

Adding to 10005763 its reverse (36750001), we get a palindrome (46755764).

The spelling of 10005763 in words is "ten million, five thousand, seven hundred sixty-three".