199992 has 32 divisors (see below), whose sum is σ = 539280. Its totient is φ = 61440.

The previous prime is 199967. The next prime is 199999. The reversal of 199992 is 299991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 199992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199999) 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, 9 + ... + 632.

2¹⁹⁹⁹⁹² is an apocalyptic number.

199992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269640).

199992 is an abundant number, since it is smaller than the sum of its proper divisors (339288).

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

199992 is a wasteful number, since it uses less digits than its factorization.

199992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 659 counting only the distinct ones).

The product of its digits is 13122, while the sum is 39.

The square root of 199992 is about 447.2046511386. The cubic root of 199992 is about 58.4795750158.

Subtracting 199992 from its reverse (299991), we obtain a palindrome (99999).

It can be divided in two parts, 19 and 9992, that added together give a triangular number (10011 = T₁₄₁).

The spelling of 199992 in words is "one hundred ninety-nine thousand, nine hundred ninety-two".