823827144 has 32 divisors (see below), whose sum is σ = 2353792320. Its totient is φ = 235379136.

The previous prime is 823827127. The next prime is 823827149. The reversal of 823827144 is 441728328.

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 (823827149) 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, 2451699 + ... + 2452034.

It is an arithmetic number, because the mean of its divisors is an integer number (73556010).

Almost surely, 2^823827144 is an apocalyptic number.

823827144 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

823827144 is an abundant number, since it is smaller than the sum of its proper divisors (1529965176).

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

823827144 is a wasteful number, since it uses less digits than its factorization.

823827144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4903749 (or 4903745 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 823827144 is about 28702.3891688479. The cubic root of 823827144 is about 937.4440690544. Note that the first 3 decimals are identical.

The spelling of 823827144 in words is "eight hundred twenty-three million, eight hundred twenty-seven thousand, one hundred forty-four".