961985 has 8 divisors (see below), whose sum is σ = 1159656. Its totient is φ = 766080.

The previous prime is 961981. The next prime is 961991. The reversal of 961985 is 589169.

It can be written as a sum of positive squares in 4 ways, for example, as 26896 + 935089 = 164^2 + 967^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 961985 - 2² = 961981 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 961985.

It is not an unprimeable number, because it can be changed into a prime (961981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1877 + ... + 2333.

It is an arithmetic number, because the mean of its divisors is an integer number (144957).

2⁹⁶¹⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

961985 is a deficient number, since it is larger than the sum of its proper divisors (197671).

961985 is a wasteful number, since it uses less digits than its factorization.

961985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883.

The product of its digits is 19440, while the sum is 38.

The square root of 961985 is about 980.8083400950. The cubic root of 961985 is about 98.7164282611.

Subtracting from 961985 its reverse (589169), we obtain a triangular number (372816 = T₈₆₃).

The spelling of 961985 in words is "nine hundred sixty-one thousand, nine hundred eighty-five".