164289 has 8 divisors (see below), whose sum is σ = 228672. Its totient is φ = 104720.

The previous prime is 164279. The next prime is 164291. The reversal of 164289 is 982461.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-164289 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164209) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1122 + ... + 1259.

It is an arithmetic number, because the mean of its divisors is an integer number (28584).

It is the magic constant of a 69 × 69 magic square.

2¹⁶⁴²⁸⁹ is an apocalyptic number.

It is an amenable number.

164289 is a deficient number, since it is larger than the sum of its proper divisors (64383).

164289 is a wasteful number, since it uses less digits than its factorization.

164289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407.

The product of its digits is 3456, while the sum is 30.

The square root of 164289 is about 405.3257948860. The cubic root of 164289 is about 54.7691703265.

The spelling of 164289 in words is "one hundred sixty-four thousand, two hundred eighty-nine".