165028993 has 2 divisors, whose sum is σ = 165028994. Its totient is φ = 165028992.

The previous prime is 165028961. The next prime is 165029009. The reversal of 165028993 is 399820561.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 159567424 + 5461569 = 12632^2 + 2337^2 .

It is a cyclic number.

It is not a de Polignac number, because 165028993 - 2⁵ = 165028961 is a prime.

It is not a weakly prime, because it can be changed into another prime (165028093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82514496 + 82514497.

It is an arithmetic number, because the mean of its divisors is an integer number (82514497).

Almost surely, 2^165028993 is an apocalyptic number.

It is an amenable number.

165028993 is a deficient number, since it is larger than the sum of its proper divisors (1).

165028993 is an equidigital number, since it uses as much as digits as its factorization.

165028993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 116640, while the sum is 43.

The square root of 165028993 is about 12846.3610800880. The cubic root of 165028993 is about 548.5127788156.

The spelling of 165028993 in words is "one hundred sixty-five million, twenty-eight thousand, nine hundred ninety-three".