164364561 has 12 divisors (see below), whose sum is σ = 241308340. Its totient is φ = 107779680.

The previous prime is 164364553. The next prime is 164364583. The reversal of 164364561 is 165463461.

It is a happy number.

164364561 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 645 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 74494161 + 89870400 = 8631^2 + 9480^2 .

It is not a de Polignac number, because 164364561 - 2³ = 164364553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164364061) 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, 149146 + ... + 150243.

Almost surely, 2^164364561 is an apocalyptic number.

It is an amenable number.

164364561 is a deficient number, since it is larger than the sum of its proper divisors (76943779).

164364561 is a wasteful number, since it uses less digits than its factorization.

164364561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299456 (or 299453 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 164364561 is about 12820.4742891985. The cubic root of 164364561 is about 547.7756565223.

The spelling of 164364561 in words is "one hundred sixty-four million, three hundred sixty-four thousand, five hundred sixty-one".