164073 has 16 divisors (see below), whose sum is σ = 269696. Its totient is φ = 86400.

The previous prime is 164071. The next prime is 164089. The reversal of 164073 is 370461.

164073 is nontrivially palindromic in base 15.

It is not a de Polignac number, because 164073 - 2¹ = 164071 is a prime.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (164071) 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 15 ways as a sum of consecutive naturals, for example, 28 + ... + 573.

It is an arithmetic number, because the mean of its divisors is an integer number (16856).

2¹⁶⁴⁰⁷³ is an apocalyptic number.

164073 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

164073 is a deficient number, since it is larger than the sum of its proper divisors (105623).

164073 is a wasteful number, since it uses less digits than its factorization.

164073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 164073 is about 405.0592549245. The cubic root of 164073 is about 54.7451570955.

The spelling of 164073 in words is "one hundred sixty-four thousand, seventy-three".