75689 has 2 divisors, whose sum is σ = 75690. Its totient is φ = 75688.

The previous prime is 75683. The next prime is 75703. The reversal of 75689 is 98657.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75625 + 64 = 275^2 + 8^2 .

It is a cyclic number.

It is not a de Polignac number, because 75689 - 2¹² = 71593 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (75683) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37844 + 37845.

It is an arithmetic number, because the mean of its divisors is an integer number (37845).

2⁷⁵⁶⁸⁹ is an apocalyptic number.

It is an amenable number.

75689 is a deficient number, since it is larger than the sum of its proper divisors (1).

75689 is an equidigital number, since it uses as much as digits as its factorization.

75689 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15120, while the sum is 35.

The square root of 75689 is about 275.1163390277. The cubic root of 75689 is about 42.3003787316.

Adding to 75689 its product of digits (15120), we get a palindrome (90809).

The spelling of 75689 in words is "seventy-five thousand, six hundred eighty-nine".