345924 has 24 divisors (see below), whose sum is σ = 897120. Its totient is φ = 115272.

The previous prime is 345923. The next prime is 345937. The reversal of 345924 is 429543.

345924 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (345923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1494 + ... + 1709.

It is an arithmetic number, because the mean of its divisors is an integer number (37380).

2³⁴⁵⁹²⁴ is an apocalyptic number.

It is an amenable number.

345924 is an abundant number, since it is smaller than the sum of its proper divisors (551196).

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

345924 is a wasteful number, since it uses less digits than its factorization.

345924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216 (or 3208 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 345924 is about 588.1530413081. The cubic root of 345924 is about 70.1983490005.

It can be divided in two parts, 34592 and 4, that added together give a square (34596 = 186²).

The spelling of 345924 in words is "three hundred forty-five thousand, nine hundred twenty-four".