164973 has 8 divisors (see below), whose sum is σ = 222208. Its totient is φ = 108864.

The previous prime is 164963. The next prime is 164987. The reversal of 164973 is 379461.

It is a happy number.

164973 is nontrivially palindromic in base 15.

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

It is not a de Polignac number, because 164973 - 2¹² = 160877 is a prime.

It is a Duffinian number.

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 164973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164953) 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, 165 + ... + 597.

It is an arithmetic number, because the mean of its divisors is an integer number (27776).

2¹⁶⁴⁹⁷³ is an apocalyptic number.

It is an amenable number.

164973 is a deficient number, since it is larger than the sum of its proper divisors (57235).

164973 is a wasteful number, since it uses less digits than its factorization.

164973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563.

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

The square root of 164973 is about 406.1686841695. The cubic root of 164973 is about 54.8450736485.

The spelling of 164973 in words is "one hundred sixty-four thousand, nine hundred seventy-three".