10035963 has 24 divisors (see below), whose sum is σ = 16661216. Its totient is φ = 5702400.

The previous prime is 10035947. The next prime is 10035973. The reversal of 10035963 is 36953001.

It is not a de Polignac number, because 10035963 - 2⁴ = 10035947 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10035973) 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 23 ways as a sum of consecutive naturals, for example, 14853 + ... + 15513.

Almost surely, 2^10035963 is an apocalyptic number.

10035963 is a deficient number, since it is larger than the sum of its proper divisors (6625253).

10035963 is a wasteful number, since it uses less digits than its factorization.

10035963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 10035963 is about 3167.9588065504. The cubic root of 10035963 is about 215.7014264683.

Adding to 10035963 its reverse (36953001), we get a palindrome (46988964).

It can be divided in two parts, 100 and 35963, that added together give a palindrome (36063).

The spelling of 10035963 in words is "ten million, thirty-five thousand, nine hundred sixty-three".