164689 has 6 divisors (see below), whose sum is σ = 191634. Its totient is φ = 141120.

The previous prime is 164683. The next prime is 164701. The reversal of 164689 is 986461.

It can be written as a sum of positive squares in only one way, i.e., 153664 + 11025 = 392^2 + 105^2 .

It is not a de Polignac number, because 164689 - 2¹¹ = 162641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164683) 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 5 ways as a sum of consecutive naturals, for example, 1632 + ... + 1729.

It is an arithmetic number, because the mean of its divisors is an integer number (31939).

2¹⁶⁴⁶⁸⁹ is an apocalyptic number.

It is an amenable number.

164689 is a deficient number, since it is larger than the sum of its proper divisors (26945).

164689 is an equidigital number, since it uses as much as digits as its factorization.

164689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375 (or 3368 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 164689 is about 405.8189251378. The cubic root of 164689 is about 54.8135837532.

The spelling of 164689 in words is "one hundred sixty-four thousand, six hundred eighty-nine".