47565 has 24 divisors (see below), whose sum is σ = 94848. Its totient is φ = 21600.

The previous prime is 47563. The next prime is 47569. The reversal of 47565 is 56574.

It is not a de Polignac number, because 47565 - 2¹ = 47563 is a prime.

It is a Curzon number.

47565 is a lucky number.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240 + ... + 390.

It is an arithmetic number, because the mean of its divisors is an integer number (3952).

2⁴⁷⁵⁶⁵ is an apocalyptic number.

47565 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47565 is a deficient number, since it is larger than the sum of its proper divisors (47283).

47565 is a wasteful number, since it uses less digits than its factorization.

47565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 166 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 47565 is about 218.0940164241. The cubic root of 47565 is about 36.2322941673.

Subtracting from 47565 its product of digits (4200), we obtain a triangular number (43365 = T₂₉₄).

Subtracting 47565 from its reverse (56574), we obtain a palindrome (9009).

It can be divided in two parts, 4756 and 5, that added together give a square (4761 = 69²).

The spelling of 47565 in words is "forty-seven thousand, five hundred sixty-five".