66583 has 4 divisors (see below), whose sum is σ = 72648. Its totient is φ = 60520.

The previous prime is 66571. The next prime is 66587. The reversal of 66583 is 38566.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 66583 - 2⁹ = 66071 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66587) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3016 + ... + 3037.

It is an arithmetic number, because the mean of its divisors is an integer number (18162).

2⁶⁶⁵⁸³ is an apocalyptic number.

66583 is a deficient number, since it is larger than the sum of its proper divisors (6065).

66583 is a wasteful number, since it uses less digits than its factorization.

66583 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6064.

The product of its digits is 4320, while the sum is 28.

The square root of 66583 is about 258.0368190782. The cubic root of 66583 is about 40.5310436173.

The spelling of 66583 in words is "sixty-six thousand, five hundred eighty-three".