823212192 has 96 divisors (see below), whose sum is σ = 2433521664. Its totient is φ = 241401600.

The previous prime is 823212179. The next prime is 823212197. The reversal of 823212192 is 291212328.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (823212197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20163 + ... + 45309.

It is an arithmetic number, because the mean of its divisors is an integer number (25349184).

Almost surely, 2^823212192 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 823212192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216760832).

823212192 is an abundant number, since it is smaller than the sum of its proper divisors (1610309472).

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

823212192 is a wasteful number, since it uses less digits than its factorization.

823212192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25202 (or 25194 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 823212192 is about 28691.6746112875. The cubic root of 823212192 is about 937.2107569213.

The spelling of 823212192 in words is "eight hundred twenty-three million, two hundred twelve thousand, one hundred ninety-two".