16564 has 12 divisors (see below), whose sum is σ = 29988. Its totient is φ = 8000.

The previous prime is 16561. The next prime is 16567. The reversal of 16564 is 46561.

16564 = T₈₉ + T₉₀ + ... + T₉₂.

It is an interprime number because it is at equal distance from previous prime (16561) and next prime (16567).

It can be written as a sum of positive squares in 2 ways, for example, as 8464 + 8100 = 92^2 + 90^2 .

Its product of digits (720) is a multiple of the sum of its prime divisors (144).

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 114 + ... + 214.

It is an arithmetic number, because the mean of its divisors is an integer number (2499).

2¹⁶⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

16564 is a deficient number, since it is larger than the sum of its proper divisors (13424).

16564 is a wasteful number, since it uses less digits than its factorization.

16564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 144 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 16564 is about 128.7012043456. The cubic root of 16564 is about 25.4910900564.

The spelling of 16564 in words is "sixteen thousand, five hundred sixty-four".