199962 has 48 divisors (see below), whose sum is σ = 530880. Its totient is φ = 54648.

The previous prime is 199961. The next prime is 199967. The reversal of 199962 is 269991.

199962 is nontrivially palindromic in base 5.

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

It is not an unprimeable number, because it can be changed into a prime (199961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8683 + ... + 8705.

It is an arithmetic number, because the mean of its divisors is an integer number (11060).

2¹⁹⁹⁹⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265440).

199962 is an abundant number, since it is smaller than the sum of its proper divisors (330918).

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

199962 is a wasteful number, since it uses less digits than its factorization.

199962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 35 counting only the distinct ones).

The product of its digits is 8748, while the sum is 36.

The square root of 199962 is about 447.1711081901. The cubic root of 199962 is about 58.4766507739.

The spelling of 199962 in words is "one hundred ninety-nine thousand, nine hundred sixty-two".