164508561 has 48 divisors (see below), whose sum is σ = 283545600. Its totient is φ = 89921664.

The previous prime is 164508557. The next prime is 164508563. The reversal of 164508561 is 165805461.

164508561 is a `hidden beast` number, since 1 + 645 + 0 + 8 + 5 + 6 + 1 = 666.

164508561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164508561 - 2² = 164508557 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164508563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231675 + ... + 232383.

It is an arithmetic number, because the mean of its divisors is an integer number (5907200).

Almost surely, 2^164508561 is an apocalyptic number.

It is an amenable number.

164508561 is a deficient number, since it is larger than the sum of its proper divisors (119037039).

164508561 is a wasteful number, since it uses less digits than its factorization.

164508561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 164508561 is about 12826.0890765658. The cubic root of 164508561 is about 547.9355788107.

The spelling of 164508561 in words is "one hundred sixty-four million, five hundred eight thousand, five hundred sixty-one".