305956 has 24 divisors (see below), whose sum is σ = 627200. Its totient is φ = 130536.

The previous prime is 305947. The next prime is 305971. The reversal of 305956 is 659503.

It is a happy number.

305956 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

305956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1261 + ... + 1483.

2³⁰⁵⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313600).

305956 is an abundant number, since it is smaller than the sum of its proper divisors (321244).

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

305956 is a wasteful number, since it uses less digits than its factorization.

305956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 28.

The square root of 305956 is about 553.1328954239. The cubic root of 305956 is about 67.3834109924.

The spelling of 305956 in words is "three hundred five thousand, nine hundred fifty-six".