1317782336 has 56 divisors (see below), whose sum is σ = 2981812680. Its totient is φ = 572424192.

The previous prime is 1317782321. The next prime is 1317782339. The reversal of 1317782336 is 6332877131.

It can be written as a sum of positive squares in 4 ways, for example, as 544942336 + 772840000 = 23344^2 + 27800^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1317782293 and 1317782302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1317782339) 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, 32441 + ... + 60728.

It is an arithmetic number, because the mean of its divisors is an integer number (53246655).

Almost surely, 2^1317782336 is an apocalyptic number.

1317782336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1317782336 is an abundant number, since it is smaller than the sum of its proper divisors (1664030344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1317782336 is a wasteful number, since it uses less digits than its factorization.

1317782336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93211 (or 93201 counting only the distinct ones).

The product of its digits is 127008, while the sum is 41.

The square root of 1317782336 is about 36301.2718234499. The cubic root of 1317782336 is about 1096.3466500756.

The spelling of 1317782336 in words is "one billion, three hundred seventeen million, seven hundred eighty-two thousand, three hundred thirty-six".