83706 has 16 divisors (see below), whose sum is σ = 191424. Its totient is φ = 23904.

The previous prime is 83701. The next prime is 83717. The reversal of 83706 is 60738.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83706.

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

83706 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 955 + ... + 1038.

It is an arithmetic number, because the mean of its divisors is an integer number (11964).

2⁸³⁷⁰⁶ is an apocalyptic number.

83706 is an abundant number, since it is smaller than the sum of its proper divisors (107718).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95712).

83706 is a wasteful number, since it uses less digits than its factorization.

83706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 83706 is about 289.3198921609. The cubic root of 83706 is about 43.7440372826.

The spelling of 83706 in words is "eighty-three thousand, seven hundred six".