10007963 has 8 divisors (see below), whose sum is σ = 11471328. Its totient is φ = 8553024.

The previous prime is 10007953. The next prime is 10007969. The reversal of 10007963 is 36970001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10007963 - 2⁸ = 10007707 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10007969) 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 7 ways as a sum of consecutive naturals, for example, 695 + ... + 4527.

It is an arithmetic number, because the mean of its divisors is an integer number (1433916).

Almost surely, 2^10007963 is an apocalyptic number.

10007963 is a deficient number, since it is larger than the sum of its proper divisors (1463365).

10007963 is an equidigital number, since it uses as much as digits as its factorization.

10007963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213.

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 10007963 is about 3163.5364704710. The cubic root of 10007963 is about 215.5006397090.

Adding to 10007963 its reverse (36970001), we get a palindrome (46977964).

The spelling of 10007963 in words is "ten million, seven thousand, nine hundred sixty-three".