201564 has 36 divisors (see below), whose sum is σ = 556920. Its totient is φ = 60960.

The previous prime is 201557. The next prime is 201577. The reversal of 201564 is 465102.

It is a happy number.

201564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142 + ... + 650.

It is an arithmetic number, because the mean of its divisors is an integer number (15470).

2²⁰¹⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278460).

201564 is an abundant number, since it is smaller than the sum of its proper divisors (355356).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201564 is a wasteful number, since it uses less digits than its factorization.

201564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 201564 is about 448.9587954367. The cubic root of 201564 is about 58.6323979159.

Adding to 201564 its reverse (465102), we get a palindrome (666666).

The spelling of 201564 in words is "two hundred one thousand, five hundred sixty-four".