83765 has 8 divisors (see below), whose sum is σ = 109728. Its totient is φ = 60880.

The previous prime is 83761. The next prime is 83773. The reversal of 83765 is 56738.

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

It is not a de Polignac number, because 83765 - 2² = 83761 is a prime.

It is a d-powerful number, because it can be written as 8 + 3¹⁰ + 7⁵ + 6⁵ + 5³ .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83761) 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, 707 + ... + 816.

It is an arithmetic number, because the mean of its divisors is an integer number (13716).

2⁸³⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

83765 is a deficient number, since it is larger than the sum of its proper divisors (25963).

83765 is a wasteful number, since it uses less digits than its factorization.

83765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539.

The product of its digits is 5040, while the sum is 29.

The square root of 83765 is about 289.4218374622. The cubic root of 83765 is about 43.7543125001.

It can be divided in two parts, 83 and 765, that added together give a palindrome (848).

The spelling of 83765 in words is "eighty-three thousand, seven hundred sixty-five".