164538 has 32 divisors (see below), whose sum is σ = 400320. Its totient is φ = 49680.

The previous prime is 164531. The next prime is 164569. The reversal of 164538 is 835461.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (164531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456 + ... + 732.

It is an arithmetic number, because the mean of its divisors is an integer number (12510).

2¹⁶⁴⁵³⁸ is an apocalyptic number.

164538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200160).

164538 is an abundant number, since it is smaller than the sum of its proper divisors (235782).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164538 is a wasteful number, since it uses less digits than its factorization.

164538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 293 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 164538 is about 405.6328389073. The cubic root of 164538 is about 54.7968261433.

Adding to 164538 its reverse (835461), we get a palindrome (999999).

It can be divided in two parts, 16453 and 8, that added together give a palindrome (16461).

The spelling of 164538 in words is "one hundred sixty-four thousand, five hundred thirty-eight".