164731601 has 2 divisors, whose sum is σ = 164731602. Its totient is φ = 164731600.

The previous prime is 164731561. The next prime is 164731607. The reversal of 164731601 is 106137461.

164731601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118287376 + 46444225 = 10876^2 + 6815^2 .

It is an emirp because it is prime and its reverse (106137461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164731601 - 2¹⁴ = 164715217 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (164731607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82365800 + 82365801.

It is an arithmetic number, because the mean of its divisors is an integer number (82365801).

Almost surely, 2^164731601 is an apocalyptic number.

It is an amenable number.

164731601 is a deficient number, since it is larger than the sum of its proper divisors (1).

164731601 is an equidigital number, since it uses as much as digits as its factorization.

164731601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 164731601 is about 12834.7809097000. The cubic root of 164731601 is about 548.1830965509.

The spelling of 164731601 in words is "one hundred sixty-four million, seven hundred thirty-one thousand, six hundred one".