164864181 has 8 divisors (see below), whose sum is σ = 232749504. Its totient is φ = 103444160.

The previous prime is 164864171. The next prime is 164864221. The reversal of 164864181 is 181468461.

164864181 is digitally balanced in base 2, because in such base 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 a cyclic number.

It is not a de Polignac number, because 164864181 - 2¹⁷ = 164733109 is a prime.

It is a super-3 number, since 3×164864181³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164864171) 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, 1616265 + ... + 1616366.

It is an arithmetic number, because the mean of its divisors is an integer number (29093688).

Almost surely, 2^164864181 is an apocalyptic number.

It is an amenable number.

164864181 is a deficient number, since it is larger than the sum of its proper divisors (67885323).

164864181 is a wasteful number, since it uses less digits than its factorization.

164864181 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3232651.

The product of its digits is 36864, while the sum is 39.

The square root of 164864181 is about 12839.9447428718. The cubic root of 164864181 is about 548.3301208124.

The spelling of 164864181 in words is "one hundred sixty-four million, eight hundred sixty-four thousand, one hundred eighty-one".