30305 has 16 divisors (see below), whose sum is σ = 43200. Its totient is φ = 20160.

The previous prime is 30293. The next prime is 30307. The reversal of 30305 is 50303.

It is not a de Polignac number, because 30305 - 2⁶ = 30241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (11).

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

It is a Curzon number.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30307) 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, 1031 + ... + 1059.

It is an arithmetic number, because the mean of its divisors is an integer number (2700).

2³⁰³⁰⁵ is an apocalyptic number.

It is an amenable number.

30305 is a deficient number, since it is larger than the sum of its proper divisors (12895).

30305 is a wasteful number, since it uses less digits than its factorization.

30305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64.

The product of its (nonzero) digits is 45, while the sum is 11.

The square root of 30305 is about 174.0833133876. The cubic root of 30305 is about 31.1772708665.

Adding to 30305 its reverse (50303), we get a palindrome (80608).

The spelling of 30305 in words is "thirty thousand, three hundred five".