345507 has 12 divisors (see below), whose sum is σ = 480984. Its totient is φ = 220480.

The previous prime is 345487. The next prime is 345511. The reversal of 345507 is 705543.

It is not a de Polignac number, because 345507 - 2⁷ = 345379 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 345507.

It is not an unprimeable number, because it can be changed into a prime (345517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6493 + ... + 6545.

It is an arithmetic number, because the mean of its divisors is an integer number (40082).

2³⁴⁵⁵⁰⁷ is an apocalyptic number.

345507 is a deficient number, since it is larger than the sum of its proper divisors (135477).

345507 is an equidigital number, since it uses as much as digits as its factorization.

345507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 345507 is about 587.7984348397. The cubic root of 345507 is about 70.1701303920.

The spelling of 345507 in words is "three hundred forty-five thousand, five hundred seven".