30882 has 8 divisors (see below), whose sum is σ = 61776. Its totient is φ = 10292.

The previous prime is 30881. The next prime is 30893. The reversal of 30882 is 28803.

Added to its reverse (28803) it gives a triangular number (59685 = T₃₄₅).

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

30882 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (30881) 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, 2568 + ... + 2579.

It is an arithmetic number, because the mean of its divisors is an integer number (7722).

2³⁰⁸⁸² is an apocalyptic number.

30882 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (30888).

30882 is a wasteful number, since it uses less digits than its factorization.

30882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5152.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 30882 is about 175.7327516429. The cubic root of 30882 is about 31.3738974655.

Adding to 30882 its sum of digits (21), we get a palindrome (30903).

Adding to 30882 its reverse (28803), we get a triangular number (59685 = T₃₄₅).

The spelling of 30882 in words is "thirty thousand, eight hundred eighty-two".