305032 has 32 divisors (see below), whose sum is σ = 705600. Its totient is φ = 120384.

The previous prime is 305029. The next prime is 305033. The reversal of 305032 is 230503.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (305033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 519 + ... + 937.

It is an arithmetic number, because the mean of its divisors is an integer number (22050).

2³⁰⁵⁰³² 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 305032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352800).

305032 is an abundant number, since it is smaller than the sum of its proper divisors (400568).

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

305032 is a wasteful number, since it uses less digits than its factorization.

305032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 13.

The square root of 305032 is about 552.2970215382. The cubic root of 305032 is about 67.3155090116.

Adding to 305032 its reverse (230503), we get a palindrome (535535).

Subtracting from 305032 its reverse (230503), we obtain a square (74529 = 273²).

The spelling of 305032 in words is "three hundred five thousand, thirty-two".