164300 has 36 divisors (see below), whose sum is σ = 374976. Its totient is φ = 62400.

The previous prime is 164299. The next prime is 164309. The reversal of 164300 is 3461.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 164300.

It is not an unprimeable number, because it can be changed into a prime (164309) 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 11 ways as a sum of consecutive naturals, for example, 3074 + ... + 3126.

It is an arithmetic number, because the mean of its divisors is an integer number (10416).

2¹⁶⁴³⁰⁰ is an apocalyptic number.

164300 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 164300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488).

164300 is an abundant number, since it is smaller than the sum of its proper divisors (210676).

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

164300 is a wasteful number, since it uses less digits than its factorization.

164300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 164300 is about 405.3393639902. The cubic root of 164300 is about 54.7703926592.

Adding to 164300 its reverse (3461), we get a palindrome (167761).

It can be divided in two parts, 164 and 300, that added together give a palindrome (464).

The spelling of 164300 in words is "one hundred sixty-four thousand, three hundred".