305382 has 32 divisors (see below), whose sum is σ = 762624. Its totient is φ = 79200.

The previous prime is 305377. The next prime is 305401. The reversal of 305382 is 283503.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

305382 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 15 ways as a sum of consecutive naturals, for example, 132 + ... + 792.

It is an arithmetic number, because the mean of its divisors is an integer number (23832).

2³⁰⁵³⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381312).

305382 is an abundant number, since it is smaller than the sum of its proper divisors (457242).

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

305382 is a wasteful number, since it uses less digits than its factorization.

305382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 305382 is about 552.6137891873. The cubic root of 305382 is about 67.3412455711.

Adding to 305382 its reverse (283503), we get a palindrome (588885).

The spelling of 305382 in words is "three hundred five thousand, three hundred eighty-two".