12782913 has 32 divisors (see below), whose sum is σ = 20321280. Its totient is φ = 7045440.

The previous prime is 12782897. The next prime is 12782921. The reversal of 12782913 is 31928721.

It is not a de Polignac number, because 12782913 - 2⁴ = 12782897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (12782933) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35428 + ... + 35786.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 2^12782913 is an apocalyptic number.

12782913 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12782913 is a deficient number, since it is larger than the sum of its proper divisors (7538367).

12782913 is a wasteful number, since it uses less digits than its factorization.

12782913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469.

The product of its digits is 6048, while the sum is 33.

The square root of 12782913 is about 3575.3199856796. The cubic root of 12782913 is about 233.8172837660.

It can be divided in two parts, 12782 and 913, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 12782913 in words is "twelve million, seven hundred eighty-two thousand, nine hundred thirteen".