345593 has 8 divisors (see below), whose sum is σ = 379080. Its totient is φ = 313600.

The previous prime is 345581. The next prime is 345599. The reversal of 345593 is 395543.

It can be written as a sum of positive squares in 4 ways, for example, as 162409 + 183184 = 403^2 + 428^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 345593 - 2⁴ = 345577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a d-powerful number, because it can be written as 3 + 4⁹ + 5⁵ + 5⁷ + 9 + 3⁷ .

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 345593.

It is not an unprimeable number, because it can be changed into a prime (345599) 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 in 7 ways as a sum of consecutive naturals, for example, 143 + ... + 843.

It is an arithmetic number, because the mean of its divisors is an integer number (47385).

2³⁴⁵⁵⁹³ is an apocalyptic number.

It is an amenable number.

345593 is a deficient number, since it is larger than the sum of its proper divisors (33487).

345593 is a wasteful number, since it uses less digits than its factorization.

345593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747.

The product of its digits is 8100, while the sum is 29.

The square root of 345593 is about 587.8715846169. The cubic root of 345593 is about 70.1759519147.

The spelling of 345593 in words is "three hundred forty-five thousand, five hundred ninety-three".