30948 has 12 divisors (see below), whose sum is σ = 72240. Its totient is φ = 10312.

The previous prime is 30941. The next prime is 30949. The reversal of 30948 is 84903.

30948 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 30948.

It is not an unprimeable number, because it can be changed into a prime (30941) by changing a digit.

30948 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, 1278 + ... + 1301.

It is an arithmetic number, because the mean of its divisors is an integer number (6020).

2³⁰⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

30948 is an abundant number, since it is smaller than the sum of its proper divisors (41292).

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 (36120).

30948 is a wasteful number, since it uses less digits than its factorization.

30948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 30948 is about 175.9204365615. The cubic root of 30948 is about 31.3962319846.

The spelling of 30948 in words is "thirty thousand, nine hundred forty-eight".