305552 has 30 divisors (see below), whose sum is σ = 646722. Its totient is φ = 139776.

The previous prime is 305551. The next prime is 305563. The reversal of 305552 is 255503.

305552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 30976 + 274576 = 176^2 + 524^2 .

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 305552.

It is not an unprimeable number, because it can be changed into a prime (305551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2648 + ... + 2760.

2³⁰⁵⁵⁵² 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 305552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323361).

305552 is an abundant number, since it is smaller than the sum of its proper divisors (341170).

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

305552 is a wasteful number, since it uses less digits than its factorization.

305552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 20.

The square root of 305552 is about 552.7675822622. The cubic root of 305552 is about 67.3537390908.

The spelling of 305552 in words is "three hundred five thousand, five hundred fifty-two".