75889 has 4 divisors (see below), whose sum is σ = 82800. Its totient is φ = 68980.

The previous prime is 75883. The next prime is 75913. The reversal of 75889 is 98857.

75889 = 31² + 32² + ... + 63².

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 75889 - 2⁹ = 75377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3439 + ... + 3460.

It is an arithmetic number, because the mean of its divisors is an integer number (20700).

2⁷⁵⁸⁸⁹ is an apocalyptic number.

It is an amenable number.

75889 is a deficient number, since it is larger than the sum of its proper divisors (6911).

75889 is a wasteful number, since it uses less digits than its factorization.

75889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6910.

The product of its digits is 20160, while the sum is 37.

The square root of 75889 is about 275.4795818205. The cubic root of 75889 is about 42.3376040221.

The spelling of 75889 in words is "seventy-five thousand, eight hundred eighty-nine".