53564 has 12 divisors (see below), whose sum is σ = 107184. Its totient is φ = 22944.

The previous prime is 53551. The next prime is 53569. The reversal of 53564 is 46535.

53564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

53564 is an admirable number.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53569) by changing a digit.

53564 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, 929 + ... + 984.

It is an arithmetic number, because the mean of its divisors is an integer number (8932).

2⁵³⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

53564 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 (53592).

53564 is a wasteful number, since it uses less digits than its factorization.

53564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1922 counting only the distinct ones).

The product of its digits is 1800, while the sum is 23.

The square root of 53564 is about 231.4389768384. The cubic root of 53564 is about 37.6956295196.

It can be divided in two parts, 53 and 564, that multiplied together give a palindrome (29892).

The spelling of 53564 in words is "fifty-three thousand, five hundred sixty-four".