345188593 has 2 divisors, whose sum is σ = 345188594. Its totient is φ = 345188592.

The previous prime is 345188579. The next prime is 345188639. The reversal of 345188593 is 395881543.

It is an a-pointer prime, because the next prime (345188639) can be obtained adding 345188593 to its sum of digits (46).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 195077089 + 150111504 = 13967^2 + 12252^2 .

It is a cyclic number.

It is not a de Polignac number, because 345188593 - 2¹³ = 345180401 is a prime.

It is not a weakly prime, because it can be changed into another prime (345188513) 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, 172594296 + 172594297.

It is an arithmetic number, because the mean of its divisors is an integer number (172594297).

Almost surely, 2^345188593 is an apocalyptic number.

It is an amenable number.

345188593 is a deficient number, since it is larger than the sum of its proper divisors (1).

345188593 is an equidigital number, since it uses as much as digits as its factorization.

345188593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 518400, while the sum is 46.

The square root of 345188593 is about 18579.2516803019. The cubic root of 345188593 is about 701.4856833234.

The spelling of 345188593 in words is "three hundred forty-five million, one hundred eighty-eight thousand, five hundred ninety-three".