47530 has 24 divisors (see below), whose sum is σ = 100548. Its totient is φ = 16128.

The previous prime is 47527. The next prime is 47533. The reversal of 47530 is 3574.

It is an interprime number because it is at equal distance from previous prime (47527) and next prime (47533).

It can be written as a sum of positive squares in 2 ways, for example, as 47089 + 441 = 217^2 + 21^2 .

It is a junction number, because it is equal to n+sod(n) for n = 47498 and 47507.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 442 + ... + 538.

2⁴⁷⁵³⁰ is an apocalyptic number.

47530 is an abundant number, since it is smaller than the sum of its proper divisors (53018).

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 (50274).

47530 is a wasteful number, since it uses less digits than its factorization.

47530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 47530 is about 218.0137610336. The cubic root of 47530 is about 36.2234049878.

Subtracting from 47530 its reverse (3574), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 475 and 30, that added together give a palindrome (505).

The spelling of 47530 in words is "forty-seven thousand, five hundred thirty".