197985 has 16 divisors (see below), whose sum is σ = 323136. Its totient is φ = 103488.

The previous prime is 197971. The next prime is 198013. The reversal of 197985 is 589791.

It is a happy number.

It is not a de Polignac number, because 197985 - 2⁴ = 197969 is a prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 197985.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 907 + ... + 1103.

It is an arithmetic number, because the mean of its divisors is an integer number (20196).

2¹⁹⁷⁹⁸⁵ is an apocalyptic number.

197985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

197985 is a deficient number, since it is larger than the sum of its proper divisors (125151).

197985 is a wasteful number, since it uses less digits than its factorization.

197985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272.

The product of its digits is 22680, while the sum is 39.

The square root of 197985 is about 444.9550539099. The cubic root of 197985 is about 58.2832949578.

The spelling of 197985 in words is "one hundred ninety-seven thousand, nine hundred eighty-five".