164500 has 48 divisors (see below), whose sum is σ = 419328. Its totient is φ = 55200.

The previous prime is 164477. The next prime is 164503. The reversal of 164500 is 5461.

164500 = 71² + 72² + ... + 94².

It is a super-3 number, since 3×164500³ = 13354233375000000, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164503) 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, 3477 + ... + 3523.

It is an arithmetic number, because the mean of its divisors is an integer number (8736).

2¹⁶⁴⁵⁰⁰ is an apocalyptic number.

164500 is a gapful number since it is divisible by the number (10) 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 164500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209664).

164500 is an abundant number, since it is smaller than the sum of its proper divisors (254828).

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

164500 is a wasteful number, since it uses less digits than its factorization.

164500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 164500 is about 405.5859958135. The cubic root of 164500 is about 54.7926073818.

Adding to 164500 its reverse (5461), we get a palindrome (169961).

The spelling of 164500 in words is "one hundred sixty-four thousand, five hundred".