345933 has 36 divisors (see below), whose sum is σ = 638560. Its totient is φ = 176256.

The previous prime is 345923. The next prime is 345937. The reversal of 345933 is 339543.

It is not a de Polignac number, because 345933 - 2⁶ = 345869 is a prime.

It is a Duffinian number.

345933 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 345897 and 345906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345937) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18198 + ... + 18216.

2³⁴⁵⁹³³ is an apocalyptic number.

It is an amenable number.

345933 is a deficient number, since it is larger than the sum of its proper divisors (292627).

345933 is a wasteful number, since it uses less digits than its factorization.

345933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 46 counting only the distinct ones).

The product of its digits is 4860, while the sum is 27.

The square root of 345933 is about 588.1606923282. The cubic root of 345933 is about 70.1989577852.

It can be divided in two parts, 34593 and 3, that added together give a square (34596 = 186²).

The spelling of 345933 in words is "three hundred forty-five thousand, nine hundred thirty-three".