164801 has 8 divisors (see below), whose sum is σ = 202944. Its totient is φ = 130320.

The previous prime is 164789. The next prime is 164809. The reversal of 164801 is 108461.

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-164801 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (164809) 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 7 ways as a sum of consecutive naturals, for example, 815 + ... + 996.

It is an arithmetic number, because the mean of its divisors is an integer number (25368).

2¹⁶⁴⁸⁰¹ is an apocalyptic number.

It is an amenable number.

164801 is a deficient number, since it is larger than the sum of its proper divisors (38143).

164801 is a wasteful number, since it uses less digits than its factorization.

164801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831.

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 164801 is about 405.9568942634. The cubic root of 164801 is about 54.8260066234.

The spelling of 164801 in words is "one hundred sixty-four thousand, eight hundred one".