16765 has 8 divisors (see below), whose sum is σ = 23040. Its totient is φ = 11472.

The previous prime is 16763. The next prime is 16787. The reversal of 16765 is 56761.

16765 = T_{29} + T_{30} + ... +
T_{49}.

16765 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 16765 - 2^{1} = 16763 is a prime.

It is an alternating number because its digits alternate between odd and even.

16765 is strictly pandigital in base 6.

16765 is a lucky number.

It is a nialpdrome in base 7 and base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205 + ... + 274.

It is an arithmetic number, because the mean of its divisors is an integer number (2880).

16765 is a Friedman number, since it can be written as 7^5-6*(6+1), using all its digits and the basic arithmetic operations.

2^{16765} is an apocalyptic number.

It is an amenable number.

16765 is a deficient number, since it is larger than the sum of its proper divisors (6275).

16765 is an equidigital number, since it uses as much as digits as its factorization.

16765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491.

The product of its digits is 1260, while the sum is 25.

The square root of 16765 is about 129.4797281431. The cubic root of 16765 is about 25.5937851124.

It can be divided in two parts, 1676 and 5, that added together give a square (1681 = 41^{2}).

The spelling of 16765 in words is "sixteen thousand, seven hundred sixty-five".

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