967585 has 8 divisors (see below), whose sum is σ = 1201320. Its totient is φ = 747264.

The previous prime is 967583. The next prime is 967607. The reversal of 967585 is 585769.

It is a happy number.

967585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1296 + 966289 = 36^2 + 983^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 967585 - 2¹ = 967583 is a prime.

967585 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (967583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3192 + ... + 3481.

It is an arithmetic number, because the mean of its divisors is an integer number (150165).

2⁹⁶⁷⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

967585 is a deficient number, since it is larger than the sum of its proper divisors (233735).

967585 is a wasteful number, since it uses less digits than its factorization.

967585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6707.

The product of its digits is 75600, while the sum is 40.

The square root of 967585 is about 983.6589856246. The cubic root of 967585 is about 98.9076102996.

The spelling of 967585 in words is "nine hundred sixty-seven thousand, five hundred eighty-five".