823121424 has 120 divisors (see below), whose sum is σ = 2481603072. Its totient is φ = 253946880.

The previous prime is 823121407. The next prime is 823121441. The reversal of 823121424 is 424121328.

823121424 is a `hidden beast` number, since 8 + 231 + 2 + 1 + 424 = 666.

It is an interprime number because it is at equal distance from previous prime (823121407) and next prime (823121441).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 98664 + ... + 106680.

Almost surely, 2^823121424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823121424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240801536).

823121424 is an abundant number, since it is smaller than the sum of its proper divisors (1658481648).

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

823121424 is a wasteful number, since it uses less digits than its factorization.

823121424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8085 (or 8076 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 823121424 is about 28690.0927847925. The cubic root of 823121424 is about 937.1763097992.

The spelling of 823121424 in words is "eight hundred twenty-three million, one hundred twenty-one thousand, four hundred twenty-four".