164955753 has 12 divisors (see below), whose sum is σ = 239698368. Its totient is φ = 109311000.

The previous prime is 164955737. The next prime is 164955757. The reversal of 164955753 is 357559461.

164955753 is a `hidden beast` number, since 1 + 6 + 49 + 557 + 53 = 666.

It is not a de Polignac number, because 164955753 - 2⁴ = 164955737 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 164955699 and 164955708.

It is not an unprimeable number, because it can be changed into a prime (164955757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53373 + ... + 56378.

It is an arithmetic number, because the mean of its divisors is an integer number (19974864).

Almost surely, 2^164955753 is an apocalyptic number.

It is an amenable number.

164955753 is a deficient number, since it is larger than the sum of its proper divisors (74742615).

164955753 is a wasteful number, since it uses less digits than its factorization.

164955753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109924 (or 109921 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The square root of 164955753 is about 12843.5101510452. The cubic root of 164955753 is about 548.4316233378.

The spelling of 164955753 in words is "one hundred sixty-four million, nine hundred fifty-five thousand, seven hundred fifty-three".