345564 has 36 divisors (see below), whose sum is σ = 906360. Its totient is φ = 110880.

The previous prime is 345551. The next prime is 345571. The reversal of 345564 is 465543.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

345564 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 879 + ... + 1209.

2³⁴⁵⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453180).

345564 is an abundant number, since it is smaller than the sum of its proper divisors (560796).

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

345564 is a wasteful number, since it uses less digits than its factorization.

345564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 365 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 345564 is about 587.8469188488. The cubic root of 345564 is about 70.1739889510.

It can be divided in two parts, 345 and 564, that added together give a palindrome (909).

The spelling of 345564 in words is "three hundred forty-five thousand, five hundred sixty-four".