85583 has 6 divisors (see below), whose sum is σ = 90792. Its totient is φ = 80520.

The previous prime is 85577. The next prime is 85597. The reversal of 85583 is 38558.

It is not a de Polignac number, because 85583 - 2¹⁰ = 84559 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85513) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1373 + ... + 1433.

It is an arithmetic number, because the mean of its divisors is an integer number (15132).

2⁸⁵⁵⁸³ is an apocalyptic number.

85583 is a deficient number, since it is larger than the sum of its proper divisors (5209).

85583 is an equidigital number, since it uses as much as digits as its factorization.

85583 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 84 counting only the distinct ones).

The product of its digits is 4800, while the sum is 29.

The square root of 85583 is about 292.5457229221. The cubic root of 85583 is about 44.0685913648.

The spelling of 85583 in words is "eighty-five thousand, five hundred eighty-three".