12822824 has 32 divisors (see below), whose sum is σ = 27950400. Its totient is φ = 5400960.

The previous prime is 12822787. The next prime is 12822827. The reversal of 12822824 is 42822821.

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

It is not an unprimeable number, because it can be changed into a prime (12822827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1364 + ... + 5244.

It is an arithmetic number, because the mean of its divisors is an integer number (873450).

Almost surely, 2^12822824 is an apocalyptic number.

12822824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12822824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13975200).

12822824 is an abundant number, since it is smaller than the sum of its proper divisors (15127576).

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

12822824 is a wasteful number, since it uses less digits than its factorization.

12822824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3953 (or 3949 counting only the distinct ones).

The product of its digits is 4096, while the sum is 29.

The square root of 12822824 is about 3580.8970943047. The cubic root of 12822824 is about 234.0603735421.

The spelling of 12822824 in words is "twelve million, eight hundred twenty-two thousand, eight hundred twenty-four".