1005593 has 2 divisors, whose sum is σ = 1005594. Its totient is φ = 1005592.

The previous prime is 1005581. The next prime is 1005617. The reversal of 1005593 is 3955001.

1005593 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., 851929 + 153664 = 923^2 + 392^2 .

It is an emirp because it is prime and its reverse (3955001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005593 is a prime.

It is a super-2 number, since 2×1005593² = 2022434563298, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1005503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502796 + 502797.

It is an arithmetic number, because the mean of its divisors is an integer number (502797).

2^1005593 is an apocalyptic number.

It is an amenable number.

1005593 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005593 is an equidigital number, since it uses as much as digits as its factorization.

1005593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 675, while the sum is 23.

The square root of 1005593 is about 1002.7926006907. The cubic root of 1005593 is about 100.1860868354.

The spelling of 1005593 in words is "one million, five thousand, five hundred ninety-three".