305830 has 32 divisors (see below), whose sum is σ = 668736. Its totient is φ = 98304.

The previous prime is 305821. The next prime is 305839. The reversal of 305830 is 38503.

It is an interprime number because it is at equal distance from previous prime (305821) and next prime (305839).

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

It is a junction number, because it is equal to n+sod(n) for n = 305798 and 305807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305839) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1062 + ... + 1318.

It is an arithmetic number, because the mean of its divisors is an integer number (20898).

2³⁰⁵⁸³⁰ is an apocalyptic number.

305830 is an abundant number, since it is smaller than the sum of its proper divisors (362906).

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

305830 is a wasteful number, since it uses less digits than its factorization.

305830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 305830 is about 553.0189870158. The cubic root of 305830 is about 67.3741596888.

The spelling of 305830 in words is "three hundred five thousand, eight hundred thirty".