75583 has 2 divisors, whose sum is σ = 75584. Its totient is φ = 75582.

The previous prime is 75577. The next prime is 75611. The reversal of 75583 is 38557.

It is an a-pointer prime, because the next prime (75611) can be obtained adding 75583 to its sum of digits (28).

It is a weak prime.

It is an emirp because it is prime and its reverse (38557) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 75583 - 2¹³ = 67391 is a prime.

75583 is a lucky number.

It is a plaindrome in base 8.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (75503) by changing a digit.

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 as a sum of consecutive naturals, namely, 37791 + 37792.

It is an arithmetic number, because the mean of its divisors is an integer number (37792).

2⁷⁵⁵⁸³ is an apocalyptic number.

75583 is a deficient number, since it is larger than the sum of its proper divisors (1).

75583 is an equidigital number, since it uses as much as digits as its factorization.

75583 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4200, while the sum is 28.

The square root of 75583 is about 274.9236257581. The cubic root of 75583 is about 42.2806227347.

It can be divided in two parts, 755 and 83, that added together give a palindrome (838).

The spelling of 75583 in words is "seventy-five thousand, five hundred eighty-three".