199746 has 28 divisors (see below), whose sum is σ = 452502. Its totient is φ = 66096.

The previous prime is 199741. The next prime is 199751. The reversal of 199746 is 647991.

It is an interprime number because it is at equal distance from previous prime (199741) and next prime (199751).

It can be written as a sum of positive squares in only one way, i.e., 164025 + 35721 = 405^2 + 189^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 199746.

It is not an unprimeable number, because it can be changed into a prime (199741) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1390 + ... + 1526.

2¹⁹⁹⁷⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226251).

199746 is an abundant number, since it is smaller than the sum of its proper divisors (252756).

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

199746 is an equidigital number, since it uses as much as digits as its factorization.

199746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 142 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 199746 is about 446.9295246457. The cubic root of 199746 is about 58.4555875930.

The spelling of 199746 in words is "one hundred ninety-nine thousand, seven hundred forty-six".