992112 has 40 divisors (see below), whose sum is σ = 2797440. Its totient is φ = 300480.

The previous prime is 992111. The next prime is 992113. The reversal of 992112 is 211299.

992112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (992111) and next prime (992113).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 992112.

It is not an unprimeable number, because it can be changed into a prime (992111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 412 + ... + 1467.

It is an arithmetic number, because the mean of its divisors is an integer number (69936).

2⁹⁹²¹¹² is an apocalyptic number.

It is an amenable number.

992112 is an abundant number, since it is smaller than the sum of its proper divisors (1805328).

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

992112 is a wasteful number, since it uses less digits than its factorization.

992112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1895 counting only the distinct ones).

The product of its digits is 324, while the sum is 24.

The square root of 992112 is about 996.0481916052. The cubic root of 992112 is about 99.7363722817.

It can be divided in two parts, 99 and 2112, that added together give a triangular number (2211 = T₆₆).

The spelling of 992112 in words is "nine hundred ninety-two thousand, one hundred twelve".