30912 has 56 divisors (see below), whose sum is σ = 97536. Its totient is φ = 8448.

The previous prime is 30911. The next prime is 30931. The reversal of 30912 is 21903.

It is a tau number, because it is divible by the number of its divisors (56).

It is a nialpdrome in base 8.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 30891 and 30900.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1333 + ... + 1355.

2³⁰⁹¹² is an apocalyptic number.

30912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48768).

30912 is an abundant number, since it is smaller than the sum of its proper divisors (66624).

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

30912 is a wasteful number, since it uses less digits than its factorization.

30912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 30912 is about 175.8180878067. The cubic root of 30912 is about 31.3840534605.

Subtracting from 30912 its reverse (21903), we obtain a palindrome (9009).

The spelling of 30912 in words is "thirty thousand, nine hundred twelve".