765967 has 4 divisors (see below), whose sum is σ = 771696. Its totient is φ = 760240.

The previous prime is 765953. The next prime is 765971. The reversal of 765967 is 769567.

765967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 769567 = 439 ⋅1753.

It is a cyclic number.

It is not a de Polignac number, because 765967 - 2¹⁹ = 241679 is a prime.

It is a Duffinian number.

765967 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (765907) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2659 + ... + 2932.

It is an arithmetic number, because the mean of its divisors is an integer number (192924).

2⁷⁶⁵⁹⁶⁷ is an apocalyptic number.

765967 is a deficient number, since it is larger than the sum of its proper divisors (5729).

765967 is a wasteful number, since it uses less digits than its factorization.

765967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5728.

The product of its digits is 79380, while the sum is 40.

The square root of 765967 is about 875.1954067521. The cubic root of 765967 is about 91.4962623017.

Subtracting 765967 from its reverse (769567), we obtain a square (3600 = 60²).

The spelling of 765967 in words is "seven hundred sixty-five thousand, nine hundred sixty-seven".