305946 has 24 divisors (see below), whose sum is σ = 692640. Its totient is φ = 97416.

The previous prime is 305933. The next prime is 305947. The reversal of 305946 is 649503.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305947) 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, 45 + ... + 783.

It is an arithmetic number, because the mean of its divisors is an integer number (28860).

2³⁰⁵⁹⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346320).

305946 is an abundant number, since it is smaller than the sum of its proper divisors (386694).

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

305946 is a wasteful number, since it uses less digits than its factorization.

305946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 767 counting only the distinct ones).

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

The square root of 305946 is about 553.1238559310. The cubic root of 305946 is about 67.3826768548.

The spelling of 305946 in words is "three hundred five thousand, nine hundred forty-six".