195584 has 22 divisors (see below), whose sum is σ = 393024. Its totient is φ = 97280.

The previous prime is 195581. The next prime is 195593. The reversal of 195584 is 485591.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a d-powerful number, because it can be written as 1 + 9⁴ + 5⁷ + 5⁷ + 8⁵ + 4 .

It is a self number, because there is not a number n which added to its sum of digits gives 195584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 929 + ... + 1119.

2¹⁹⁵⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196512).

195584 is an abundant number, since it is smaller than the sum of its proper divisors (197440).

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

195584 is an equidigital number, since it uses as much as digits as its factorization.

195584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 193 counting only the distinct ones).

The product of its digits is 7200, while the sum is 32.

The square root of 195584 is about 442.2487987547. The cubic root of 195584 is about 58.0467320553.

The spelling of 195584 in words is "one hundred ninety-five thousand, five hundred eighty-four".