75709 has 2 divisors, whose sum is σ = 75710. Its totient is φ = 75708.

The previous prime is 75707. The next prime is 75721. The reversal of 75709 is 90757.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 2809 = 270^2 + 53^2 .

It is a cyclic number.

It is not a de Polignac number, because 75709 - 2¹ = 75707 is a prime.

Together with 75707, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

75709 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (75703) 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, 37854 + 37855.

It is an arithmetic number, because the mean of its divisors is an integer number (37855).

2⁷⁵⁷⁰⁹ is an apocalyptic number.

It is an amenable number.

75709 is a deficient number, since it is larger than the sum of its proper divisors (1).

75709 is an equidigital number, since it uses as much as digits as its factorization.

75709 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2205, while the sum is 28.

The square root of 75709 is about 275.1526848860. The cubic root of 75709 is about 42.3041042094.

It can be divided in two parts, 75 and 709, that added together give a square (784 = 28²).

The spelling of 75709 in words is "seventy-five thousand, seven hundred nine".