164175 has 24 divisors (see below), whose sum is σ = 297600. Its totient is φ = 79200.

The previous prime is 164173. The next prime is 164183. The reversal of 164175 is 571461.

It is not a de Polignac number, because 164175 - 2¹ = 164173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 726 + ... + 924.

It is an arithmetic number, because the mean of its divisors is an integer number (12400).

2¹⁶⁴¹⁷⁵ is an apocalyptic number.

164175 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

164175 is a deficient number, since it is larger than the sum of its proper divisors (133425).

164175 is a wasteful number, since it uses less digits than its factorization.

164175 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 218 counting only the distinct ones).

The product of its digits is 840, while the sum is 24.

The square root of 164175 is about 405.1851428668. The cubic root of 164175 is about 54.7564993014.

The spelling of 164175 in words is "one hundred sixty-four thousand, one hundred seventy-five".