10006763 has 4 divisors (see below), whose sum is σ = 10776528. Its totient is φ = 9237000.

The previous prime is 10006757. The next prime is 10006781. The reversal of 10006763 is 36760001.

10006763 is digitally balanced in base 2 and base 3, because in such bases 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: 36760001 = 17 ⋅2162353.

It is a cyclic number.

It is not a de Polignac number, because 10006763 - 2⁶ = 10006699 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10006793) 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, 384863 + ... + 384888.

It is an arithmetic number, because the mean of its divisors is an integer number (2694132).

Almost surely, 2^10006763 is an apocalyptic number.

10006763 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10006763 is a deficient number, since it is larger than the sum of its proper divisors (769765).

10006763 is an equidigital number, since it uses as much as digits as its factorization.

10006763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769764.

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 10006763 is about 3163.3468036243. The cubic root of 10006763 is about 215.4920261978.

Adding to 10006763 its reverse (36760001), we get a palindrome (46766764).

The spelling of 10006763 in words is "ten million, six thousand, seven hundred sixty-three".