97585 has 8 divisors (see below), whose sum is σ = 121320. Its totient is φ = 75264.

The previous prime is 97583. The next prime is 97607. The reversal of 97585 is 58579.

It can be written as a sum of positive squares in 4 ways, for example, as 5776 + 91809 = 76^2 + 303^2 .

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 97585 - 2¹ = 97583 is a prime.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 97585.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97583) 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, 192 + ... + 481.

It is an arithmetic number, because the mean of its divisors is an integer number (15165).

It is the magic constant of a 58 × 58 magic square.

2⁹⁷⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

97585 is a deficient number, since it is larger than the sum of its proper divisors (23735).

97585 is a wasteful number, since it uses less digits than its factorization.

97585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707.

The product of its digits is 12600, while the sum is 34.

The square root of 97585 is about 312.3859791988. The cubic root of 97585 is about 46.0391915524.

It can be divided in two parts, 9 and 7585, that multiplied together give a triangular number (68265 = T₃₆₉).

The spelling of 97585 in words is "ninety-seven thousand, five hundred eighty-five".