65583 has 16 divisors (see below), whose sum is σ = 111360. Its totient is φ = 37368.

The previous prime is 65581. The next prime is 65587. The reversal of 65583 is 38556.

65583 is a `hidden beast` number, since 655 + 8 + 3 = 666.

It is not a de Polignac number, because 65583 - 2¹ = 65581 is a prime.

It is a super-2 number, since 2×65583² = 8602259778, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65581) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16 + ... + 362.

It is an arithmetic number, because the mean of its divisors is an integer number (6960).

2⁶⁵⁵⁸³ is an apocalyptic number.

65583 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

65583 is a deficient number, since it is larger than the sum of its proper divisors (45777).

65583 is a wasteful number, since it uses less digits than its factorization.

65583 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 357 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 65583 is about 256.0917804226. The cubic root of 65583 is about 40.3271093615.

Subtracting from 65583 its sum of digits (27), we obtain a palindrome (65556).

It can be divided in two parts, 6558 and 3, that added together give a 8-th power (6561 = 3⁸).

The spelling of 65583 in words is "sixty-five thousand, five hundred eighty-three".