30916 has 12 divisors (see below), whose sum is σ = 55440. Its totient is φ = 15080.

The previous prime is 30911. The next prime is 30931. The reversal of 30916 is 61903.

It is a junction number, because it is equal to n+sod(n) for n = 30893 and 30902.

It is not an unprimeable number, because it can be changed into a prime (30911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 171 + ... + 301.

It is an arithmetic number, because the mean of its divisors is an integer number (4620).

2³⁰⁹¹⁶ is an apocalyptic number.

It is an amenable number.

30916 is a deficient number, since it is larger than the sum of its proper divisors (24524).

30916 is a wasteful number, since it uses less digits than its factorization.

30916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 30916 is about 175.8294628326. The cubic root of 30916 is about 31.3854070966.

It can be divided in two parts, 309 and 16, that added together give a triangular number (325 = T₂₅).

The spelling of 30916 in words is "thirty thousand, nine hundred sixteen".