163185 has 32 divisors (see below), whose sum is σ = 304128. Its totient is φ = 73920.

The previous prime is 163181. The next prime is 163193. The reversal of 163185 is 581361.

163185 is a nontrivial binomial coefficient, being equal to C(46, 4).

It is not a de Polignac number, because 163185 - 2² = 163181 is a prime.

It is not an unprimeable number, because it can be changed into a prime (163181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3774 + ... + 3816.

It is an arithmetic number, because the mean of its divisors is an integer number (9504).

2¹⁶³¹⁸⁵ is an apocalyptic number.

163185 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

163185 is the 330-th pentagonal number.

It is an amenable number.

163185 is a deficient number, since it is larger than the sum of its proper divisors (140943).

163185 is a wasteful number, since it uses less digits than its factorization.

163185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85.

The product of its digits is 720, while the sum is 24.

The square root of 163185 is about 403.9616318414. The cubic root of 163185 is about 54.6462140093.

The spelling of 163185 in words is "one hundred sixty-three thousand, one hundred eighty-five".