164753 has 4 divisors (see below), whose sum is σ = 167280. Its totient is φ = 162228.

The previous prime is 164743. The next prime is 164767. The reversal of 164753 is 357461.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 164753 - 2¹⁰ = 163729 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164743) 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 3 ways as a sum of consecutive naturals, for example, 1163 + ... + 1296.

It is an arithmetic number, because the mean of its divisors is an integer number (41820).

2¹⁶⁴⁷⁵³ is an apocalyptic number.

It is an amenable number.

164753 is a deficient number, since it is larger than the sum of its proper divisors (2527).

164753 is an equidigital number, since it uses as much as digits as its factorization.

164753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526.

The product of its digits is 2520, while the sum is 26.

The square root of 164753 is about 405.8977703807. The cubic root of 164753 is about 54.8206832256.

The spelling of 164753 in words is "one hundred sixty-four thousand, seven hundred fifty-three".