12821824 has 14 divisors (see below), whose sum is σ = 25443434. Its totient is φ = 6410880.

The previous prime is 12821803. The next prime is 12821843. The reversal of 12821824 is 42812821.

It can be written as a sum of positive squares in only one way, i.e., 7840000 + 4981824 = 2800^2 + 2232^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12821792 and 12821801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100107 + ... + 100234.

Almost surely, 2^12821824 is an apocalyptic number.

It is an amenable number.

12821824 is a deficient number, since it is larger than the sum of its proper divisors (12621610).

12821824 is an equidigital number, since it uses as much as digits as its factorization.

12821824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200353 (or 200343 counting only the distinct ones).

The product of its digits is 2048, while the sum is 28.

The square root of 12821824 is about 3580.7574617670. The cubic root of 12821824 is about 234.0542889111.

It can be divided in two parts, 128 and 21824, that added together give a cube (21952 = 28³).

The spelling of 12821824 in words is "twelve million, eight hundred twenty-one thousand, eight hundred twenty-four".