30506 has 8 divisors (see below), whose sum is σ = 52320. Its totient is φ = 13068.

The previous prime is 30497. The next prime is 30509. The reversal of 30506 is 60503.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Harshad number since it is a multiple of its sum of digits (14), and also a Moran number because the ratio is a prime number: 2179 = 30506 / (3 + 0 + 5 + 0 + 6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30509) by changing a digit.

30506 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 3 ways as a sum of consecutive naturals, for example, 1076 + ... + 1103.

It is an arithmetic number, because the mean of its divisors is an integer number (6540).

2³⁰⁵⁰⁶ is an apocalyptic number.

30506 is a deficient number, since it is larger than the sum of its proper divisors (21814).

30506 is a wasteful number, since it uses less digits than its factorization.

30506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188.

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 30506 is about 174.6596690710. The cubic root of 30506 is about 31.2460475001.

The spelling of 30506 in words is "thirty thousand, five hundred six".