961585 has 4 divisors (see below), whose sum is σ = 1153908. Its totient is φ = 769264.

The previous prime is 961567. The next prime is 961601. The reversal of 961585 is 585169.

961585 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: 585169 = 13 ⋅45013.

It can be written as a sum of positive squares in 2 ways, for example, as 269361 + 692224 = 519^2 + 832^2 .

It is a cyclic number.

It is not a de Polignac number, because 961585 - 2⁹ = 961073 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 961585.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 96154 + ... + 96163.

It is an arithmetic number, because the mean of its divisors is an integer number (288477).

2⁹⁶¹⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

961585 is a deficient number, since it is larger than the sum of its proper divisors (192323).

961585 is a wasteful number, since it uses less digits than its factorization.

961585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192322.

The product of its digits is 10800, while the sum is 34.

The square root of 961585 is about 980.6044054561. The cubic root of 961585 is about 98.7027440403.

It can be divided in two parts, 96 and 1585, that added together give a square (1681 = 41²).

The spelling of 961585 in words is "nine hundred sixty-one thousand, five hundred eighty-five".