89666585 has 12 divisors (see below), whose sum is σ = 114303468. Its totient is φ = 67512576.

The previous prime is 89666543. The next prime is 89666597. The reversal of 89666585 is 58566698.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1907161 + 87759424 = 1381^2 + 9368^2 .

It is not a de Polignac number, because 89666585 - 2⁸ = 89666329 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 29582 + ... + 32471.

It is an arithmetic number, because the mean of its divisors is an integer number (9525289).

Almost surely, 2^89666585 is an apocalyptic number.

89666585 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

89666585 is a deficient number, since it is larger than the sum of its proper divisors (24636883).

89666585 is a wasteful number, since it uses less digits than its factorization.

89666585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62092 (or 62075 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 53.

The square root of 89666585 is about 9469.2441620226. The cubic root of 89666585 is about 447.5863944803.

It can be divided in two parts, 8966 and 6585, that added together give a palindrome (15551).

The spelling of 89666585 in words is "eighty-nine million, six hundred sixty-six thousand, five hundred eighty-five".