65764 has 12 divisors (see below), whose sum is σ = 118188. Its totient is φ = 32000.

The previous prime is 65761. The next prime is 65777. The reversal of 65764 is 46756.

65764 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 36864 + 28900 = 192^2 + 170^2 .

It is not an unprimeable number, because it can be changed into a prime (65761) 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 3 ways as a sum of consecutive naturals, for example, 37 + ... + 364.

It is an arithmetic number, because the mean of its divisors is an integer number (9849).

2⁶⁵⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

65764 is a deficient number, since it is larger than the sum of its proper divisors (52424).

65764 is a wasteful number, since it uses less digits than its factorization.

65764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 444 counting only the distinct ones).

The product of its digits is 5040, while the sum is 28.

The square root of 65764 is about 256.4449258613. Note that the first 3 decimals coincide. The cubic root of 65764 is about 40.3641743638.

The spelling of 65764 in words is "sixty-five thousand, seven hundred sixty-four".