165312593 has 2 divisors, whose sum is σ = 165312594. Its totient is φ = 165312592.

The previous prime is 165312577. The next prime is 165312613. The reversal of 165312593 is 395213561.

165312593 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 156450064 + 8862529 = 12508^2 + 2977^2 .

It is an emirp because it is prime and its reverse (395213561) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 165312593 - 2⁴ = 165312577 is a prime.

It is not a weakly prime, because it can be changed into another prime (165312493) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82656296 + 82656297.

It is an arithmetic number, because the mean of its divisors is an integer number (82656297).

Almost surely, 2^165312593 is an apocalyptic number.

It is an amenable number.

165312593 is a deficient number, since it is larger than the sum of its proper divisors (1).

165312593 is an equidigital number, since it uses as much as digits as its factorization.

165312593 is an evil number, because the sum of its binary digits is even.

The product of its digits is 24300, while the sum is 35.

The square root of 165312593 is about 12857.3944872202. The cubic root of 165312593 is about 548.8268028305.

The spelling of 165312593 in words is "one hundred sixty-five million, three hundred twelve thousand, five hundred ninety-three".