30008 has 24 divisors (see below), whose sum is σ = 63840. Its totient is φ = 13200.

The previous prime is 29989. The next prime is 30011. The reversal of 30008 is 80003.

30008 = T₉₇ + T₉₈ + ... + T₁₀₂.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 953 + ... + 983.

It is an arithmetic number, because the mean of its divisors is an integer number (2660).

2³⁰⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31920).

30008 is an abundant number, since it is smaller than the sum of its proper divisors (33832).

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

30008 is a wasteful number, since it uses less digits than its factorization.

30008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 30008 is about 173.2281732283. The cubic root of 30008 is about 31.0750867985.

Adding to 30008 its reverse (80003), we get a palindrome (110011).

The spelling of 30008 in words is "thirty thousand, eight".