83585493 has 8 divisors (see below), whose sum is σ = 123830400. Its totient is φ = 55723644.

The previous prime is 83585483. The next prime is 83585497. The reversal of 83585493 is 39458538.

It is a happy number.

83585493 is a `hidden beast` number, since 83 + 5 + 85 + 493 = 666.

It is not a de Polignac number, because 83585493 - 2⁵ = 83585461 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83585497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1547853 + ... + 1547906.

It is an arithmetic number, because the mean of its divisors is an integer number (15478800).

Almost surely, 2^83585493 is an apocalyptic number.

It is an amenable number.

83585493 is a deficient number, since it is larger than the sum of its proper divisors (40244907).

83585493 is a wasteful number, since it uses less digits than its factorization.

83585493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095768 (or 3095762 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 83585493 is about 9142.5102132839. The cubic root of 83585493 is about 437.2303522618.

The spelling of 83585493 in words is "eighty-three million, five hundred eighty-five thousand, four hundred ninety-three".