77065 has 4 divisors (see below), whose sum is σ = 92484. Its totient is φ = 61648.

The previous prime is 77047. The next prime is 77069. The reversal of 77065 is 56077.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 56077 = 7 ⋅8011.

It can be written as a sum of positive squares in 2 ways, for example, as 48841 + 28224 = 221^2 + 168^2 .

It is a cyclic number.

It is not a de Polignac number, because 77065 - 2¹¹ = 75017 is a prime.

It is a Duffinian number.

77065 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (77069) 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, 7702 + ... + 7711.

It is an arithmetic number, because the mean of its divisors is an integer number (23121).

2⁷⁷⁰⁶⁵ is an apocalyptic number.

It is an amenable number.

77065 is a deficient number, since it is larger than the sum of its proper divisors (15419).

77065 is a wasteful number, since it uses less digits than its factorization.

77065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15418.

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 77065 is about 277.6058356735. The cubic root of 77065 is about 42.5551763170. Note that the first 3 decimals are identical.

It can be divided in two parts, 7 and 7065, that multiplied together give a triangular number (49455 = T₃₁₄).

The spelling of 77065 in words is "seventy-seven thousand, sixty-five".