64185 has 16 divisors (see below), whose sum is σ = 112320. Its totient is φ = 31040.

The previous prime is 64171. The next prime is 64187. The reversal of 64185 is 58146.

It is not a de Polignac number, because 64185 - 2⁵ = 64153 is a prime.

64185 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (64187) 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 15 ways as a sum of consecutive naturals, for example, 30 + ... + 359.

It is an arithmetic number, because the mean of its divisors is an integer number (7020).

2⁶⁴¹⁸⁵ is an apocalyptic number.

It is an amenable number.

64185 is a deficient number, since it is larger than the sum of its proper divisors (48135).

64185 is a wasteful number, since it uses less digits than its factorization.

64185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408.

The product of its digits is 960, while the sum is 24.

The square root of 64185 is about 253.3475873183. The cubic root of 64185 is about 40.0385045897.

The spelling of 64185 in words is "sixty-four thousand, one hundred eighty-five".