345033 has 16 divisors (see below), whose sum is σ = 551040. Its totient is φ = 212112.

The previous prime is 345019. The next prime is 345041. The reversal of 345033 is 330543.

It is a happy number.

It is not a de Polignac number, because 345033 - 2⁴ = 345017 is a prime.

345033 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 344997 and 345015.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 345033.

It is not an unprimeable number, because it can be changed into a prime (345133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141 + ... + 842.

It is an arithmetic number, because the mean of its divisors is an integer number (34440).

2³⁴⁵⁰³³ is an apocalyptic number.

It is an amenable number.

345033 is a deficient number, since it is larger than the sum of its proper divisors (206007).

345033 is a wasteful number, since it uses less digits than its factorization.

345033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 345033 is about 587.3950970173. The cubic root of 345033 is about 70.1380269773.

Adding to 345033 its reverse (330543), we get a palindrome (675576).

The spelling of 345033 in words is "three hundred forty-five thousand, thirty-three".