45689 has 8 divisors (see below), whose sum is σ = 53568. Its totient is φ = 38160.

The previous prime is 45677. The next prime is 45691. The reversal of 45689 is 98654.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 45689 - 2⁴ = 45673 is a prime.

It is a Duffinian number.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (45659) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 374 + ... + 480.

It is an arithmetic number, because the mean of its divisors is an integer number (6696).

2⁴⁵⁶⁸⁹ is an apocalyptic number.

It is an amenable number.

45689 is a deficient number, since it is larger than the sum of its proper divisors (7879).

45689 is a wasteful number, since it uses less digits than its factorization.

45689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175.

The product of its digits is 8640, while the sum is 32.

The square root of 45689 is about 213.7498538011. The cubic root of 45689 is about 35.7495476494.

It can be divided in two parts, 456 and 89, that added together give a palindrome (545).

The spelling of 45689 in words is "forty-five thousand, six hundred eighty-nine".