75989 has 2 divisors, whose sum is σ = 75990. Its totient is φ = 75988.

The previous prime is 75983. The next prime is 75991. The reversal of 75989 is 98957.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47089 + 28900 = 217^2 + 170^2 .

It is a cyclic number.

It is not a de Polignac number, because 75989 - 2¹⁶ = 10453 is a prime.

Together with 75991, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75989.

It is not a weakly prime, because it can be changed into another prime (75983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37994 + 37995.

It is an arithmetic number, because the mean of its divisors is an integer number (37995).

2⁷⁵⁹⁸⁹ is an apocalyptic number.

It is an amenable number.

75989 is a deficient number, since it is larger than the sum of its proper divisors (1).

75989 is an equidigital number, since it uses as much as digits as its factorization.

75989 is an evil number, because the sum of its binary digits is even.

The product of its digits is 22680, while the sum is 38.

The square root of 75989 is about 275.6610237230. The cubic root of 75989 is about 42.3561921448.

It can be divided in two parts, 759 and 89, that added together give a palindrome (848).

The spelling of 75989 in words is "seventy-five thousand, nine hundred eighty-nine".