345591 has 24 divisors (see below), whose sum is σ = 549120. Its totient is φ = 208656.

The previous prime is 345581. The next prime is 345599. The reversal of 345591 is 195543.

It is not a de Polignac number, because 345591 - 2⁷ = 345463 is a prime.

It is a d-powerful number, because it can be written as 3⁷ + 4⁹ + 5⁵ + 5⁷ + 9 + 1 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 345591.

It is not an unprimeable number, because it can be changed into a prime (345599) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7330 + ... + 7376.

It is an arithmetic number, because the mean of its divisors is an integer number (22880).

2³⁴⁵⁵⁹¹ is an apocalyptic number.

345591 is a deficient number, since it is larger than the sum of its proper divisors (203529).

345591 is a wasteful number, since it uses less digits than its factorization.

345591 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 112 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 345591 is about 587.8698835627. The cubic root of 345591 is about 70.1758165415.

It can be divided in two parts, 34 and 5591, that added together give a square (5625 = 75²).

The spelling of 345591 in words is "three hundred forty-five thousand, five hundred ninety-one".