345906 has 24 divisors (see below), whose sum is σ = 818064. Its totient is φ = 104760.

The previous prime is 345889. The next prime is 345907. The reversal of 345906 is 609543.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 345906.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 345906.

It is not an unprimeable number, because it can be changed into a prime (345907) 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, 676 + ... + 1071.

It is an arithmetic number, because the mean of its divisors is an integer number (34086).

2³⁴⁵⁹⁰⁶ is an apocalyptic number.

345906 is an abundant number, since it is smaller than the sum of its proper divisors (472158).

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

345906 is a wasteful number, since it uses less digits than its factorization.

345906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 345906 is about 588.1377389694. The cubic root of 345906 is about 70.1971313996.

It can be divided in two parts, 34590 and 6, that added together give a square (34596 = 186²).

The spelling of 345906 in words is "three hundred forty-five thousand, nine hundred six".