164893 has 2 divisors, whose sum is σ = 164894. Its totient is φ = 164892.

The previous prime is 164881. The next prime is 164911. The reversal of 164893 is 398461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 131769 + 33124 = 363^2 + 182^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-164893 is a prime.

164893 is a lucky number.

It is a plaindrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164093) 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 as a sum of consecutive naturals, namely, 82446 + 82447.

It is an arithmetic number, because the mean of its divisors is an integer number (82447).

2¹⁶⁴⁸⁹³ is an apocalyptic number.

It is an amenable number.

164893 is a deficient number, since it is larger than the sum of its proper divisors (1).

164893 is an equidigital number, since it uses as much as digits as its factorization.

164893 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5184, while the sum is 31.

The square root of 164893 is about 406.0701909769. The cubic root of 164893 is about 54.8362069141.

The spelling of 164893 in words is "one hundred sixty-four thousand, eight hundred ninety-three".