83865 has 8 divisors (see below), whose sum is σ = 134208. Its totient is φ = 44720.

The previous prime is 83857. The next prime is 83869. The reversal of 83865 is 56838.

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

It is not a de Polignac number, because 83865 - 2³ = 83857 is a prime.

83865 is a lucky number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (83869) 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, 2781 + ... + 2810.

It is an arithmetic number, because the mean of its divisors is an integer number (16776).

2⁸³⁸⁶⁵ is an apocalyptic number.

It is an amenable number.

83865 is a deficient number, since it is larger than the sum of its proper divisors (50343).

83865 is a wasteful number, since it uses less digits than its factorization.

83865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5599.

The product of its digits is 5760, while the sum is 30.

The square root of 83865 is about 289.5945441475. The cubic root of 83865 is about 43.7717171092.

It can be divided in two parts, 838 and 65, that added together give a triangular number (903 = T₄₂).

The spelling of 83865 in words is "eighty-three thousand, eight hundred sixty-five".