16537 has 4 divisors (see below), whose sum is σ = 17280. Its totient is φ = 15796.

The previous prime is 16529. The next prime is 16547. The reversal of 16537 is 73561.

It can be divided in two parts, 165 and 37, that multiplied together give a triangular number (6105 = T_{110}).

It is the 53-rd star number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 16537 - 2^{3} = 16529 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 16537.

It is not an unprimeable number, because it can be changed into a prime (16547) 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, 337 + ... + 382.

It is an arithmetic number, because the mean of its divisors is an integer number (4320).

2^{16537} is an apocalyptic number.

It is an amenable number.

16537 is a deficient number, since it is larger than the sum of its proper divisors (743).

16537 is an equidigital number, since it uses as much as digits as its factorization.

16537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742.

The product of its digits is 630, while the sum is 22.

The square root of 16537 is about 128.5962674419. The cubic root of 16537 is about 25.4772320162.

The spelling of 16537 in words is "sixteen thousand, five hundred thirty-seven".

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