11782563 has 16 divisors (see below), whose sum is σ = 16983456. Its totient is φ = 7223040.

The previous prime is 11782549. The next prime is 11782567. The reversal of 11782563 is 36528711.

It is not a de Polignac number, because 11782563 - 2⁸ = 11782307 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11782567) 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 15 ways as a sum of consecutive naturals, for example, 15103 + ... + 15863.

It is an arithmetic number, because the mean of its divisors is an integer number (1061466).

Almost surely, 2^11782563 is an apocalyptic number.

11782563 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11782563 is a deficient number, since it is larger than the sum of its proper divisors (5200893).

11782563 is a wasteful number, since it uses less digits than its factorization.

11782563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174.

The product of its digits is 10080, while the sum is 33.

The square root of 11782563 is about 3432.5738156666. The cubic root of 11782563 is about 227.5516157086.

It can be divided in two parts, 1178 and 2563, that added together give a triangular number (3741 = T₈₆).

The spelling of 11782563 in words is "eleven million, seven hundred eighty-two thousand, five hundred sixty-three".