164395 has 24 divisors (see below), whose sum is σ = 254448. Its totient is φ = 100800.

The previous prime is 164387. The next prime is 164413. The reversal of 164395 is 593461.

164395 = 7³ + 8³ + ... + 28³.

It is not a de Polignac number, because 164395 - 2³ = 164387 is a prime.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2665 + ... + 2725.

It is an arithmetic number, because the mean of its divisors is an integer number (10602).

2¹⁶⁴³⁹⁵ is an apocalyptic number.

164395 is a deficient number, since it is larger than the sum of its proper divisors (90053).

164395 is a wasteful number, since it uses less digits than its factorization.

164395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 84 counting only the distinct ones).

The product of its digits is 3240, while the sum is 28.

The square root of 164395 is about 405.4565328121. The cubic root of 164395 is about 54.7809468990.

The spelling of 164395 in words is "one hundred sixty-four thousand, three hundred ninety-five".