345968 has 20 divisors (see below), whose sum is σ = 766320. Its totient is φ = 148224.

The previous prime is 345953. The next prime is 345979. The reversal of 345968 is 869543.

345968 is nontrivially palindromic in base 13.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1433 + ... + 1656.

It is an arithmetic number, because the mean of its divisors is an integer number (38316).

2³⁴⁵⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

345968 is an abundant number, since it is smaller than the sum of its proper divisors (420352).

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

345968 is a wasteful number, since it uses less digits than its factorization.

345968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3104 (or 3098 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The square root of 345968 is about 588.1904453491. The cubic root of 345968 is about 70.2013251807.

The spelling of 345968 in words is "three hundred forty-five thousand, nine hundred sixty-eight".