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8765 = 51753

8765 has 4 divisors (see below), whose sum is σ = 10524. Its totient is φ = 7008.

The previous prime is 8761. The next prime is 8779. The reversal of 8765 is 5678.

8765 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

8765 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1369 + 7396 = 37^2 + 86^2 .

It is a cyclic number.

It is not a de Polignac number, because 8765 - 22 = 8761 is a prime.

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

It is a Duffinian number.

8765 is strictly pandigital in base 6.

It is a straight-line number, since its digits are in arithmetic progression.

It is a plaindrome in base 16.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 872 + ... + 881.

It is an arithmetic number, because the mean of its divisors is an integer number (2631).

28765 is an apocalyptic number.

It is an amenable number.

8765 is a deficient number, since it is larger than the sum of its proper divisors (1759).

8765 is a wasteful number, since it uses less digits than its factorization.

8765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758.

The product of its digits is 1680, while the sum is 26.

The square root of 8765 is about 93.6215787092. The cubic root of 8765 is about 20.6181948777.

The spelling of 8765 in words is "eight thousand, seven hundred sixty-five".

Divisors: 1 5 1753 8765