75643 has 4 divisors (see below), whose sum is σ = 76840. Its totient is φ = 74448.

The previous prime is 75641. The next prime is 75653. The reversal of 75643 is 34657.

75643 is nontrivially palindromic in base 14.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 34657 = 7 ⋅4951.

It is a cyclic number.

It is not a de Polignac number, because 75643 - 2¹ = 75641 is a prime.

It is a d-powerful number, because it can be written as 7² + 5³ + 6² + 4⁷ + 3¹⁰ .

It is a Duffinian number.

It is a plaindrome in base 9 and base 16.

It is not an unprimeable number, because it can be changed into a prime (75641) 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 in 3 ways as a sum of consecutive naturals, for example, 498 + ... + 631.

It is an arithmetic number, because the mean of its divisors is an integer number (19210).

2⁷⁵⁶⁴³ is an apocalyptic number.

75643 is a deficient number, since it is larger than the sum of its proper divisors (1197).

75643 is a wasteful number, since it uses less digits than its factorization.

75643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196.

The product of its digits is 2520, while the sum is 25.

The square root of 75643 is about 275.0327253256. The cubic root of 75643 is about 42.2918076413.

The spelling of 75643 in words is "seventy-five thousand, six hundred forty-three".