30516 has 12 divisors (see below), whose sum is σ = 71232. Its totient is φ = 10168.

The previous prime is 30509. The next prime is 30517. The reversal of 30516 is 61503.

30516 = T₄₉ + T₅₀ + ... + T₆₆.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 30495 and 30504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30517) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1260 + ... + 1283.

It is an arithmetic number, because the mean of its divisors is an integer number (5936).

2³⁰⁵¹⁶ is an apocalyptic number.

It is an amenable number.

30516 is an abundant number, since it is smaller than the sum of its proper divisors (40716).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35616).

30516 is a wasteful number, since it uses less digits than its factorization.

30516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 30516 is about 174.6882938265. The cubic root of 30516 is about 31.2494613240.

The spelling of 30516 in words is "thirty thousand, five hundred sixteen".