164592 has 50 divisors (see below), whose sum is σ = 480128. Its totient is φ = 54432.

The previous prime is 164587. The next prime is 164599. The reversal of 164592 is 295461.

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

It is a plaindrome in base 13.

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164599) by changing a digit.

164592 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 9 ways as a sum of consecutive naturals, for example, 1233 + ... + 1359.

2¹⁶⁴⁵⁹² is an apocalyptic number.

164592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240064).

164592 is an abundant number, since it is smaller than the sum of its proper divisors (315536).

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

164592 is a wasteful number, since it uses less digits than its factorization.

164592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 132 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 164592 is about 405.6993961050. The cubic root of 164592 is about 54.8028201081.

It can be divided in two parts, 16459 and 2, that added together give a palindrome (16461).

The spelling of 164592 in words is "one hundred sixty-four thousand, five hundred ninety-two".