164493 has 18 divisors (see below), whose sum is σ = 277134. Its totient is φ = 93744.

The previous prime is 164477. The next prime is 164503. The reversal of 164493 is 394461.

It can be written as a sum of positive squares in only one way, i.e., 142884 + 21609 = 378^2 + 147^2 .

It is not a de Polignac number, because 164493 - 2⁴ = 164477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164413) 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 17 ways as a sum of consecutive naturals, for example, 255 + ... + 627.

2¹⁶⁴⁴⁹³ is an apocalyptic number.

It is an amenable number.

164493 is a deficient number, since it is larger than the sum of its proper divisors (112641).

164493 is a wasteful number, since it uses less digits than its factorization.

164493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 383 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 164493 is about 405.5773662324. The cubic root of 164493 is about 54.7918301707.

The spelling of 164493 in words is "one hundred sixty-four thousand, four hundred ninety-three".