47538 has 24 divisors (see below), whose sum is σ = 109200. Its totient is φ = 14904.

The previous prime is 47533. The next prime is 47543. The reversal of 47538 is 83574.

It is an interprime number because it is at equal distance from previous prime (47533) and next prime (47543).

It is a super-2 number, since 2×47538² = 4519722888, which contains 22 as substring.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (47533) by changing a digit.

47538 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 11 ways as a sum of consecutive naturals, for example, 273 + ... + 411.

It is an arithmetic number, because the mean of its divisors is an integer number (4550).

47538 is a Friedman number, since it can be written as 834*57, using all its digits and the basic arithmetic operations.

2⁴⁷⁵³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54600).

47538 is an abundant number, since it is smaller than the sum of its proper divisors (61662).

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

47538 is a wasteful number, since it uses less digits than its factorization.

47538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 163 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 47538 is about 218.0321077273. The cubic root of 47538 is about 36.2254371849.

It can be divided in two parts, 4753 and 8, that added together give a square (4761 = 69²).

The spelling of 47538 in words is "forty-seven thousand, five hundred thirty-eight".