164727713 has 2 divisors, whose sum is σ = 164727714. Its totient is φ = 164727712.

The previous prime is 164727593. The next prime is 164727721. The reversal of 164727713 is 317727461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 124367104 + 40360609 = 11152^2 + 6353^2 .

It is a cyclic number.

It is not a de Polignac number, because 164727713 - 2⁸ = 164727457 is a prime.

It is not a weakly prime, because it can be changed into another prime (164727413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82363856 + 82363857.

It is an arithmetic number, because the mean of its divisors is an integer number (82363857).

Almost surely, 2^164727713 is an apocalyptic number.

It is an amenable number.

164727713 is a deficient number, since it is larger than the sum of its proper divisors (1).

164727713 is an equidigital number, since it uses as much as digits as its factorization.

164727713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 49392, while the sum is 38.

The square root of 164727713 is about 12834.6294453716. The cubic root of 164727713 is about 548.1787837725.

The spelling of 164727713 in words is "one hundred sixty-four million, seven hundred twenty-seven thousand, seven hundred thirteen".