164250 has 48 divisors (see below), whose sum is σ = 450216. Its totient is φ = 43200.

The previous prime is 164249. The next prime is 164251. The reversal of 164250 is 52461.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (164249) and next prime (164251).

It can be written as a sum of positive squares in 4 ways, for example, as 53361 + 110889 = 231^2 + 333^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (164251) by changing a digit.

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, 2214 + ... + 2286.

2¹⁶⁴²⁵⁰ is an apocalyptic number.

164250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225108).

164250 is an abundant number, since it is smaller than the sum of its proper divisors (285966).

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

164250 is a wasteful number, since it uses less digits than its factorization.

164250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 164250 is about 405.2776825832. The cubic root of 164250 is about 54.7648361620.

It can be divided in two parts, 164 and 250, that added together give a palindrome (414).

The spelling of 164250 in words is "one hundred sixty-four thousand, two hundred fifty".