164361 has 4 divisors (see below), whose sum is σ = 219152. Its totient is φ = 109572.

The previous prime is 164357. The next prime is 164363. The reversal of 164361 is 163461.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 164361 - 2² = 164357 is a prime.

It is a D-number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 164361.

It is not an unprimeable number, because it can be changed into a prime (164363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27391 + ... + 27396.

It is an arithmetic number, because the mean of its divisors is an integer number (54788).

2¹⁶⁴³⁶¹ is an apocalyptic number.

It is an amenable number.

164361 is a deficient number, since it is larger than the sum of its proper divisors (54791).

164361 is an equidigital number, since it uses as much as digits as its factorization.

164361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54790.

The product of its digits is 432, while the sum is 21.

The square root of 164361 is about 405.4146025984. The cubic root of 164361 is about 54.7771700594. Note that the first 3 decimals are identical.

Subtracting from 164361 its reverse (163461), we obtain a square (900 = 30²).

It can be divided in two parts, 164 and 361, that added together give a palindrome (525).

The spelling of 164361 in words is "one hundred sixty-four thousand, three hundred sixty-one".