65773 has 8 divisors (see below), whose sum is σ = 71928. Its totient is φ = 59904.

The previous prime is 65761. The next prime is 65777. The reversal of 65773 is 37756.

It can be written as a sum of positive squares in 4 ways, for example, as 26569 + 39204 = 163^2 + 198^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-65773 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 865 + ... + 937.

It is an arithmetic number, because the mean of its divisors is an integer number (8991).

2⁶⁵⁷⁷³ is an apocalyptic number.

It is an amenable number.

65773 is a deficient number, since it is larger than the sum of its proper divisors (6155).

65773 is a wasteful number, since it uses less digits than its factorization.

65773 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143.

The product of its digits is 4410, while the sum is 28.

The square root of 65773 is about 256.4624728883. The cubic root of 65773 is about 40.3660155991.

It can be divided in two parts, 657 and 73, that multiplied together give a square (47961 = 219²).

The spelling of 65773 in words is "sixty-five thousand, seven hundred seventy-three".