65767 has 4 divisors (see below), whose sum is σ = 70840. Its totient is φ = 60696.

The previous prime is 65761. The next prime is 65777. The reversal of 65767 is 76756.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 65767 - 2¹¹ = 63719 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 (65761) 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 3 ways as a sum of consecutive naturals, for example, 2517 + ... + 2542.

It is an arithmetic number, because the mean of its divisors is an integer number (17710).

2⁶⁵⁷⁶⁷ is an apocalyptic number.

65767 is a deficient number, since it is larger than the sum of its proper divisors (5073).

65767 is a wasteful number, since it uses less digits than its factorization.

65767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5072.

The product of its digits is 8820, while the sum is 31.

The square root of 65767 is about 256.4507750037. The cubic root of 65767 is about 40.3647881275.

The spelling of 65767 in words is "sixty-five thousand, seven hundred sixty-seven".