823292112 has 80 divisors (see below), whose sum is σ = 2170968192. Its totient is φ = 268776960.

The previous prime is 823292087. The next prime is 823292137. The reversal of 823292112 is 211292328.

It is an interprime number because it is at equal distance from previous prime (823292087) and next prime (823292137).

It is a self number, because there is not a number n which added to its sum of digits gives 823292112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 927733 + ... + 928619.

Almost surely, 2^823292112 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 823292112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085484096).

823292112 is an abundant number, since it is smaller than the sum of its proper divisors (1347676080).

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

823292112 is a wasteful number, since it uses less digits than its factorization.

823292112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1270 counting only the distinct ones).

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

The square root of 823292112 is about 28693.0673159912. The cubic root of 823292112 is about 937.2410850516.

The spelling of 823292112 in words is "eight hundred twenty-three million, two hundred ninety-two thousand, one hundred twelve".