47564 has 24 divisors (see below), whose sum is σ = 96768. Its totient is φ = 20240.

The previous prime is 47563. The next prime is 47569. The reversal of 47564 is 46574.

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 7 ways as a sum of consecutive naturals, for example, 989 + ... + 1035.

It is an arithmetic number, because the mean of its divisors is an integer number (4032).

2⁴⁷⁵⁶⁴ is an apocalyptic number.

47564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

47564 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (48384).

47564 is a wasteful number, since it uses less digits than its factorization.

47564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 83 counting only the distinct ones).

The product of its digits is 3360, while the sum is 26.

The square root of 47564 is about 218.0917238228. The cubic root of 47564 is about 36.2320402513.

Subtracting from 47564 its reverse (46574), we obtain a triangular number (990 = T₄₄).

The spelling of 47564 in words is "forty-seven thousand, five hundred sixty-four".