198963 has 8 divisors (see below), whose sum is σ = 294800. Its totient is φ = 132624.

The previous prime is 198959. The next prime is 198967. The reversal of 198963 is 369891.

198963 is digitally balanced in base 7, 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 (198959) and next prime (198967).

It is not a de Polignac number, because 198963 - 2² = 198959 is a prime.

It is a Duffinian number.

198963 is strictly pandigital in base 7.

198963 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (198967) 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, 3658 + ... + 3711.

It is an arithmetic number, because the mean of its divisors is an integer number (36850).

2¹⁹⁸⁹⁶³ is an apocalyptic number.

198963 is a deficient number, since it is larger than the sum of its proper divisors (95837).

198963 is an equidigital number, since it uses as much as digits as its factorization.

198963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7378 (or 7372 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 198963 is about 446.0526874709. The cubic root of 198963 is about 58.3791060240.

The spelling of 198963 in words is "one hundred ninety-eight thousand, nine hundred sixty-three".