345864 has 16 divisors (see below), whose sum is σ = 864720. Its totient is φ = 115280.

The previous prime is 345853. The next prime is 345869. The reversal of 345864 is 468543.

It is a d-powerful number, because it can be written as 3⁵ + 4² + 8 + 5³ + 6⁷ + 4⁸ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 345864.

It is not an unprimeable number, because it can be changed into a prime (345869) by changing a digit.

345864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7182 + ... + 7229.

It is an arithmetic number, because the mean of its divisors is an integer number (54045).

2³⁴⁵⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

345864 is an abundant number, since it is smaller than the sum of its proper divisors (518856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

345864 is a wasteful number, since it uses less digits than its factorization.

345864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14420 (or 14416 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 345864 is about 588.1020319638. The cubic root of 345864 is about 70.1942901664.

The spelling of 345864 in words is "three hundred forty-five thousand, eight hundred sixty-four".