164479993 has 2 divisors, whose sum is σ = 164479994. Its totient is φ = 164479992.

The previous prime is 164479963. The next prime is 164480003. The reversal of 164479993 is 399974461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121616784 + 42863209 = 11028^2 + 6547^2 .

It is a cyclic number.

It is not a de Polignac number, because 164479993 - 2⁹ = 164479481 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164479993.

It is not a weakly prime, because it can be changed into another prime (164479933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82239996 + 82239997.

It is an arithmetic number, because the mean of its divisors is an integer number (82239997).

Almost surely, 2^164479993 is an apocalyptic number.

It is an amenable number.

164479993 is a deficient number, since it is larger than the sum of its proper divisors (1).

164479993 is an equidigital number, since it uses as much as digits as its factorization.

164479993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1469664, while the sum is 52.

The square root of 164479993 is about 12824.9753606001. The cubic root of 164479993 is about 547.9038594284.

The spelling of 164479993 in words is "one hundred sixty-four million, four hundred seventy-nine thousand, nine hundred ninety-three".