47008 has 24 divisors (see below), whose sum is σ = 100548. Its totient is φ = 21504.

The previous prime is 46997. The next prime is 47017. The reversal of 47008 is 80074.

It is a happy number.

47008 is nontrivially palindromic in base 15.

47008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 35344 + 11664 = 188^2 + 108^2 .

It is a Smith number, since the sum of its digits (19) coincides with the sum of the digits of its prime factors.

47008 is a nontrivial repdigit in base 15.

It is a plaindrome in base 15.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 360 + ... + 472.

2⁴⁷⁰⁰⁸ 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 47008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50274).

47008 is an abundant number, since it is smaller than the sum of its proper divisors (53540).

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

47008 is a wasteful number, since it uses less digits than its factorization.

47008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 47008 is about 216.8132837259. The cubic root of 47008 is about 36.0903082461.

The spelling of 47008 in words is "forty-seven thousand, eight".