199500 has 96 divisors (see below), whose sum is σ = 698880. Its totient is φ = 43200.

The previous prime is 199499. The next prime is 199501. The reversal of 199500 is 5991.

It is a happy number.

199500 is digitally balanced in base 3, 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 (199499) and next prime (199501).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10491 + ... + 10509.

It is an arithmetic number, because the mean of its divisors is an integer number (7280).

2¹⁹⁹⁵⁰⁰ is an apocalyptic number.

199500 is a gapful number since it is divisible by the number (10) 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 199500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349440).

199500 is an abundant number, since it is smaller than the sum of its proper divisors (499380).

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

199500 is a wasteful number, since it uses less digits than its factorization.

199500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 24.

The square root of 199500 is about 446.6542286825. The cubic root of 199500 is about 58.4315804674.

The spelling of 199500 in words is "one hundred ninety-nine thousand, five hundred".