785967 has 16 divisors (see below), whose sum is σ = 1290240. Its totient is φ = 414432.

The previous prime is 785963. The next prime is 786001. The reversal of 785967 is 769587.

785967 is nontrivially palindromic in base 12.

785967 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 785967 - 2² = 785963 is a prime.

785967 is strictly pandigital in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (785963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1167 + ... + 1712.

It is an arithmetic number, because the mean of its divisors is an integer number (80640).

2⁷⁸⁵⁹⁶⁷ is an apocalyptic number.

785967 is a deficient number, since it is larger than the sum of its proper divisors (504273).

785967 is a wasteful number, since it uses less digits than its factorization.

785967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902.

The product of its digits is 105840, while the sum is 42.

The square root of 785967 is about 886.5477990498. The cubic root of 785967 is about 92.2857764745.

The spelling of 785967 in words is "seven hundred eighty-five thousand, nine hundred sixty-seven".