65766 has 16 divisors (see below), whose sum is σ = 134064. Its totient is φ = 21504.

The previous prime is 65761. The next prime is 65777. The reversal of 65766 is 66756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65761) by changing a digit.

65766 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, 526 + ... + 638.

It is an arithmetic number, because the mean of its divisors is an integer number (8379).

2⁶⁵⁷⁶⁶ is an apocalyptic number.

65766 is an abundant number, since it is smaller than the sum of its proper divisors (68298).

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 (67032).

65766 is a wasteful number, since it uses less digits than its factorization.

65766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215.

The product of its digits is 7560, while the sum is 30.

The square root of 65766 is about 256.4488253044. The cubic root of 65766 is about 40.3645835417.

Subtracting 65766 from its reverse (66756), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 6 and 5766, that multiplied together give a square (34596 = 186²).

The spelling of 65766 in words is "sixty-five thousand, seven hundred sixty-six".