162593 has 2 divisors, whose sum is σ = 162594. Its totient is φ = 162592.

The previous prime is 162577. The next prime is 162601. The reversal of 162593 is 395261.

162593 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117649 + 44944 = 343^2 + 212^2 .

It is an emirp because it is prime and its reverse (395261) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 162593 - 2⁴ = 162577 is a prime.

It is a Sophie Germain prime.

It is an Ulam number.

It is a Curzon number.

It is equal to p₁₄₈₉₄ and since 162593 and 14894 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (162523) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 81296 + 81297.

It is an arithmetic number, because the mean of its divisors is an integer number (81297).

2¹⁶²⁵⁹³ is an apocalyptic number.

It is an amenable number.

162593 is a deficient number, since it is larger than the sum of its proper divisors (1).

162593 is an equidigital number, since it uses as much as digits as its factorization.

162593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1620, while the sum is 26.

The square root of 162593 is about 403.2282232186. The cubic root of 162593 is about 54.5800523768.

The spelling of 162593 in words is "one hundred sixty-two thousand, five hundred ninety-three".