164085 has 8 divisors (see below), whose sum is σ = 262560. Its totient is φ = 87504.

The previous prime is 164071. The next prime is 164089. The reversal of 164085 is 580461.

164085 = 131² + 132² + ... + 139².

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 164085 - 2⁹ = 163573 is a prime.

It is a Curzon number.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5455 + ... + 5484.

It is an arithmetic number, because the mean of its divisors is an integer number (32820).

2¹⁶⁴⁰⁸⁵ is an apocalyptic number.

164085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164085 is a deficient number, since it is larger than the sum of its proper divisors (98475).

164085 is a wasteful number, since it uses less digits than its factorization.

164085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10947.

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

The square root of 164085 is about 405.0740673013. The cubic root of 164085 is about 54.7464917166.

The spelling of 164085 in words is "one hundred sixty-four thousand, eighty-five".