821227392 has 96 divisors (see below), whose sum is σ = 2379321360. Its totient is φ = 271872000.

The previous prime is 821227369. The next prime is 821227409. The reversal of 821227392 is 293722128.

821227392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×821227392³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171592 + ... + 176312.

Almost surely, 2^821227392 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 821227392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189660680).

821227392 is an abundant number, since it is smaller than the sum of its proper divisors (1558093968).

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

821227392 is a wasteful number, since it uses less digits than its factorization.

821227392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4892 (or 4877 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 821227392 is about 28657.0653068314. The cubic root of 821227392 is about 936.4569322808.

The spelling of 821227392 in words is "eight hundred twenty-one million, two hundred twenty-seven thousand, three hundred ninety-two".