345966 has 24 divisors (see below), whose sum is σ = 729960. Its totient is φ = 109296.

The previous prime is 345953. The next prime is 345979. The reversal of 345966 is 669543.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (345953) and next prime (345979).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3120 + ... + 3228.

It is an arithmetic number, because the mean of its divisors is an integer number (30415).

2³⁴⁵⁹⁶⁶ is an apocalyptic number.

345966 is an abundant number, since it is smaller than the sum of its proper divisors (383994).

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

345966 is a wasteful number, since it uses less digits than its factorization.

345966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 345966 is about 588.1887452170. The cubic root of 345966 is about 70.2011899052.

The spelling of 345966 in words is "three hundred forty-five thousand, nine hundred sixty-six".