10782963 has 20 divisors (see below), whose sum is σ = 16204320. Its totient is φ = 7145712.

The previous prime is 10782953. The next prime is 10782971. The reversal of 10782963 is 36928701.

It is not a de Polignac number, because 10782963 - 2¹⁷ = 10651891 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10782953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19081 + ... + 19637.

It is an arithmetic number, because the mean of its divisors is an integer number (810216).

Almost surely, 2^10782963 is an apocalyptic number.

10782963 is a deficient number, since it is larger than the sum of its proper divisors (5421357).

10782963 is an equidigital number, since it uses as much as digits as its factorization.

10782963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 10782963 is about 3283.7422249622. The cubic root of 10782963 is about 220.9255975528.

The spelling of 10782963 in words is "ten million, seven hundred eighty-two thousand, nine hundred sixty-three".