47540 has 12 divisors (see below), whose sum is σ = 99876. Its totient is φ = 19008.

The previous prime is 47533. The next prime is 47543. The reversal of 47540 is 4574.

47540 = T₇₂ + T₇₃ + ... + T₈₆.

It can be written as a sum of positive squares in 2 ways, for example, as 17956 + 29584 = 134^2 + 172^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 2377 = 47540 / (4 + 7 + 5 + 4 + 0).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47543) by changing a digit.

47540 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 3 ways as a sum of consecutive naturals, for example, 1169 + ... + 1208.

It is an arithmetic number, because the mean of its divisors is an integer number (8323).

2⁴⁷⁵⁴⁰ is an apocalyptic number.

It is an amenable number.

47540 is an abundant number, since it is smaller than the sum of its proper divisors (52336).

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 (49938).

47540 is a wasteful number, since it uses less digits than its factorization.

47540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 47540 is about 218.0366941595. The cubic root of 47540 is about 36.2259451986.

It can be divided in two parts, 475 and 40, that added together give a palindrome (515).

The spelling of 47540 in words is "forty-seven thousand, five hundred forty".