12966723 has 72 divisors (see below), whose sum is σ = 24865680. Its totient is φ = 6735960.

The previous prime is 12966703. The next prime is 12966731. The reversal of 12966723 is 32766921.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 12966723 - 2¹² = 12962627 is a prime.

Its product of digits (27216) is a multiple of the sum of its prime divisors (21).

It is not an unprimeable number, because it can be changed into a prime (12966703) 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 71 ways as a sum of consecutive naturals, for example, 1178788 + ... + 1178798.

Almost surely, 2^12966723 is an apocalyptic number.

12966723 is a deficient number, since it is larger than the sum of its proper divisors (11898957).

12966723 is an frugal number, since it uses more digits than its factorization.

12966723 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 21 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 12966723 is about 3600.9336289357. The cubic root of 12966723 is about 234.9326682006.

It can be divided in two parts, 12966 and 723, that added together give a square (13689 = 117²).

The spelling of 12966723 in words is "twelve million, nine hundred sixty-six thousand, seven hundred twenty-three".