968385 has 16 divisors (see below), whose sum is σ = 1690560. Its totient is φ = 469440.

The previous prime is 968381. The next prime is 968389. The reversal of 968385 is 583869.

968385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (968381) and next prime (968389).

It is not a de Polignac number, because 968385 - 2² = 968381 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (968381) 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, 2770 + ... + 3099.

It is an arithmetic number, because the mean of its divisors is an integer number (105660).

2⁹⁶⁸³⁸⁵ is an apocalyptic number.

It is an amenable number.

968385 is a deficient number, since it is larger than the sum of its proper divisors (722175).

968385 is a wasteful number, since it uses less digits than its factorization.

968385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5888.

The product of its digits is 51840, while the sum is 39.

The square root of 968385 is about 984.0655465974. The cubic root of 968385 is about 98.9348617525.

The spelling of 968385 in words is "nine hundred sixty-eight thousand, three hundred eighty-five".