10045763 has 16 divisors (see below), whose sum is σ = 12497856. Its totient is φ = 7862400.

The previous prime is 10045757. The next prime is 10045769. The reversal of 10045763 is 36754001.

It is an interprime number because it is at equal distance from previous prime (10045757) and next prime (10045769).

It is not a de Polignac number, because 10045763 - 2⁴ = 10045747 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (10045769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8645 + ... + 9737.

It is an arithmetic number, because the mean of its divisors is an integer number (781116).

Almost surely, 2^10045763 is an apocalyptic number.

10045763 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10045763 is a deficient number, since it is larger than the sum of its proper divisors (2452093).

10045763 is a wasteful number, since it uses less digits than its factorization.

10045763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214.

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 10045763 is about 3169.5051664258. The cubic root of 10045763 is about 215.7716135974.

Adding to 10045763 its reverse (36754001), we get a palindrome (46799764).

The spelling of 10045763 in words is "ten million, forty-five thousand, seven hundred sixty-three".