971585 has 8 divisors (see below), whose sum is σ = 1193280. Its totient is φ = 759024.

The previous prime is 971569. The next prime is 971591. The reversal of 971585 is 585179.

971585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 971585 - 2⁴ = 971569 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2045 + ... + 2474.

It is an arithmetic number, because the mean of its divisors is an integer number (149160).

2⁹⁷¹⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

971585 is a deficient number, since it is larger than the sum of its proper divisors (221695).

971585 is a wasteful number, since it uses less digits than its factorization.

971585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4567.

The product of its digits is 12600, while the sum is 35.

The square root of 971585 is about 985.6901135753. The cubic root of 971585 is about 99.0437177253.

The spelling of 971585 in words is "nine hundred seventy-one thousand, five hundred eighty-five".