164788993 has 2 divisors, whose sum is σ = 164788994. Its totient is φ = 164788992.

The previous prime is 164788937. The next prime is 164789039. The reversal of 164788993 is 399887461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 159062544 + 5726449 = 12612^2 + 2393^2 .

It is an emirp because it is prime and its reverse (399887461) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-164788993 is a prime.

It is not a weakly prime, because it can be changed into another prime (164788193) 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, 82394496 + 82394497.

It is an arithmetic number, because the mean of its divisors is an integer number (82394497).

Almost surely, 2^164788993 is an apocalyptic number.

It is an amenable number.

164788993 is a deficient number, since it is larger than the sum of its proper divisors (1).

164788993 is an equidigital number, since it uses as much as digits as its factorization.

164788993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2612736, while the sum is 55.

The square root of 164788993 is about 12837.0165147514. The cubic root of 164788993 is about 548.2467509461.

The spelling of 164788993 in words is "one hundred sixty-four million, seven hundred eighty-eight thousand, nine hundred ninety-three".