195984 has 30 divisors (see below), whose sum is σ = 548886. Its totient is φ = 65280.

The previous prime is 195977. The next prime is 195991. The reversal of 195984 is 489591.

195984 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 (195977) and next prime (195991).

It can be written as a sum of positive squares in only one way, i.e., 138384 + 57600 = 372^2 + 240^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 195984.

It is an unprimeable number.

195984 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 537 + ... + 824.

2¹⁹⁵⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

195984 is an abundant number, since it is smaller than the sum of its proper divisors (352902).

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

195984 is a wasteful number, since it uses less digits than its factorization.

195984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1366 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 195984 is about 442.7008018967. The cubic root of 195984 is about 58.0862766707.

The spelling of 195984 in words is "one hundred ninety-five thousand, nine hundred eighty-four".