199332 has 54 divisors (see below), whose sum is σ = 591318. Its totient is φ = 56448.

The previous prime is 199321. The next prime is 199337. The reversal of 199332 is 233991.

It can be written as a sum of positive squares in only one way, i.e., 112896 + 86436 = 336^2 + 294^2 .

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 199296 and 199305.

It is not an unprimeable number, because it can be changed into a prime (199337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1708 + ... + 1820.

2¹⁹⁹³³² is an apocalyptic number.

199332 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 199332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295659).

199332 is an abundant number, since it is smaller than the sum of its proper divisors (391986).

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

199332 is a wasteful number, since it uses less digits than its factorization.

199332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 125 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

The square root of 199332 is about 446.4661241349. The cubic root of 199332 is about 58.4151740141.

It can be divided in two parts, 1993 and 32, that added together give a square (2025 = 45²).

The spelling of 199332 in words is "one hundred ninety-nine thousand, three hundred thirty-two".