83705 has 4 divisors (see below), whose sum is σ = 100452. Its totient is φ = 66960.

The previous prime is 83701. The next prime is 83717. The reversal of 83705 is 50738.

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 61504 + 22201 = 248^2 + 149^2 .

It is not a de Polignac number, because 83705 - 2² = 83701 is a prime.

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 83705.

It is not an unprimeable number, because it can be changed into a prime (83701) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8366 + ... + 8375.

It is an arithmetic number, because the mean of its divisors is an integer number (25113).

2⁸³⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

83705 is a deficient number, since it is larger than the sum of its proper divisors (16747).

83705 is a wasteful number, since it uses less digits than its factorization.

83705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16746.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 83705 is about 289.3181639649. The cubic root of 83705 is about 43.7438630848.

The spelling of 83705 in words is "eighty-three thousand, seven hundred five".