16562 has 18 divisors (see below), whose sum is σ = 31293. Its totient is φ = 6552.

The previous prime is 16561. The next prime is 16567. The reversal of 16562 is 26561.

16562 is nontrivially palindromic in base 6 and base 9.

It can be written as a sum of positive squares in 2 ways, for example, as 14161 + 2401 = 119^2 + 49^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=91.

It is a Duffinian number.

It is a nialpdrome in base 7 and base 13.

It is a zygodrome in base 13.

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 8 ways as a sum of consecutive naturals, for example, 1268 + ... + 1280.

2¹⁶⁵⁶² is an apocalyptic number.

16562 is a deficient number, since it is larger than the sum of its proper divisors (14731).

16562 is a wasteful number, since it uses less digits than its factorization.

16562 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 22 counting only the distinct ones).

The product of its digits is 360, while the sum is 20.

The square root of 16562 is about 128.6934341760. The cubic root of 16562 is about 25.4900640516.

Subtracting 16562 from its reverse (26561), we obtain a palindrome (9999).

The spelling of 16562 in words is "sixteen thousand, five hundred sixty-two".