164302561 has 2 divisors, whose sum is σ = 164302562. Its totient is φ = 164302560.

The previous prime is 164302549. The next prime is 164302583. The reversal of 164302561 is 165203461.

164302561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 155151936 + 9150625 = 12456^2 + 3025^2 .

It is a cyclic number.

It is not a de Polignac number, because 164302561 - 2¹⁹ = 163778273 is a prime.

It is a super-3 number, since 3×164302561³ (a number of 26 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (164302261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82151280 + 82151281.

It is an arithmetic number, because the mean of its divisors is an integer number (82151281).

Almost surely, 2^164302561 is an apocalyptic number.

It is an amenable number.

164302561 is a deficient number, since it is larger than the sum of its proper divisors (1).

164302561 is an equidigital number, since it uses as much as digits as its factorization.

164302561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 164302561 is about 12818.0560538640. The cubic root of 164302561 is about 547.7067723263.

The spelling of 164302561 in words is "one hundred sixty-four million, three hundred two thousand, five hundred sixty-one".