164005007 has 2 divisors, whose sum is σ = 164005008. Its totient is φ = 164005006.

The previous prime is 164004989. The next prime is 164005033. The reversal of 164005007 is 700500461.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 164005007 - 2¹² = 164000911 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164005507) 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, 82002503 + 82002504.

It is an arithmetic number, because the mean of its divisors is an integer number (82002504).

Almost surely, 2^164005007 is an apocalyptic number.

164005007 is a deficient number, since it is larger than the sum of its proper divisors (1).

164005007 is an equidigital number, since it uses as much as digits as its factorization.

164005007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 164005007 is about 12806.4439638801. The cubic root of 164005007 is about 547.3759379179.

Adding to 164005007 its reverse (700500461), we get a palindrome (864505468).

The spelling of 164005007 in words is "one hundred sixty-four million, five thousand, seven".