164601441 has 12 divisors (see below), whose sum is σ = 237916068. Its totient is φ = 109661184.

The previous prime is 164601431. The next prime is 164601461. The reversal of 164601441 is 144106461.

164601441 is a `hidden beast` number, since 1 + 646 + 0 + 14 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45158400 + 119443041 = 6720^2 + 10929^2 .

It is a de Polignac number, because none of the positive numbers 2^k-164601441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164601431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10561 + ... + 20993.

It is an arithmetic number, because the mean of its divisors is an integer number (19826339).

Almost surely, 2^164601441 is an apocalyptic number.

It is an amenable number.

164601441 is a deficient number, since it is larger than the sum of its proper divisors (73314627).

164601441 is a wasteful number, since it uses less digits than its factorization.

164601441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12192 (or 12189 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 164601441 is about 12829.7093108145. The cubic root of 164601441 is about 548.0386791833.

The spelling of 164601441 in words is "one hundred sixty-four million, six hundred one thousand, four hundred forty-one".