786961 has 16 divisors (see below), whose sum is σ = 972160. Its totient is φ = 622080.

The previous prime is 786959. The next prime is 786971. The reversal of 786961 is 169687.

It is a 3-Lehmer number, since φ(786961) divides (786961-1)³.

It is a cyclic number.

It is not a de Polignac number, because 786961 - 2¹ = 786959 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 786961.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (786901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8065 + ... + 8161.

It is an arithmetic number, because the mean of its divisors is an integer number (60760).

It is a Poulet number, since it divides 2⁷⁸⁶⁹⁶⁰-1.

2⁷⁸⁶⁹⁶¹ is an apocalyptic number.

It is an amenable number.

786961 is a deficient number, since it is larger than the sum of its proper divisors (185199).

786961 is a wasteful number, since it uses less digits than its factorization.

786961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184.

The product of its digits is 18144, while the sum is 37.

The square root of 786961 is about 887.1082233865. The cubic root of 786961 is about 92.3246642048.

It can be divided in two parts, 7 and 86961, that added together give a palindrome (86968).

The spelling of 786961 in words is "seven hundred eighty-six thousand, nine hundred sixty-one".