65706 has 16 divisors (see below), whose sum is σ = 134784. Its totient is φ = 21344.

The previous prime is 65701. The next prime is 65707. The reversal of 65706 is 60756.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (65701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166 + ... + 398.

It is an arithmetic number, because the mean of its divisors is an integer number (8424).

2⁶⁵⁷⁰⁶ is an apocalyptic number.

65706 is an abundant number, since it is smaller than the sum of its proper divisors (69078).

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 (67392).

65706 is a wasteful number, since it uses less digits than its factorization.

65706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 65706 is about 256.3318162070. The cubic root of 65706 is about 40.3523045936.

Adding to 65706 its product of nonzero digits (1260), we get a palindrome (66966).

Subtracting from 65706 its product of nonzero digits (1260), we obtain a palindrome (64446).

Subtracting from 65706 its reverse (60756), we obtain a triangular number (4950 = T₉₉).

The spelling of 65706 in words is "sixty-five thousand, seven hundred six".