164793 has 8 divisors (see below), whose sum is σ = 221728. Its totient is φ = 108864.

The previous prime is 164789. The next prime is 164809. The reversal of 164793 is 397461.

It is a happy number.

164793 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 164793 - 2² = 164789 is a prime.

It is a Duffinian number.

164793 is strictly pandigital in base 7.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 164793.

It is not an unprimeable number, because it can be changed into a prime (164743) 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, 321 + ... + 657.

It is an arithmetic number, because the mean of its divisors is an integer number (27716).

2¹⁶⁴⁷⁹³ is an apocalyptic number.

It is an amenable number.

164793 is a deficient number, since it is larger than the sum of its proper divisors (56935).

164793 is a wasteful number, since it uses less digits than its factorization.

164793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503.

The product of its digits is 4536, while the sum is 30.

The square root of 164793 is about 405.9470408810. The cubic root of 164793 is about 54.8251194623.

The spelling of 164793 in words is "one hundred sixty-four thousand, seven hundred ninety-three".