51689 has 8 divisors (see below), whose sum is σ = 58368. Its totient is φ = 45360.

The previous prime is 51683. The next prime is 51691. The reversal of 51689 is 98615.

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 51689 - 2⁴ = 51673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51683) 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, 344 + ... + 470.

It is an arithmetic number, because the mean of its divisors is an integer number (7296).

2⁵¹⁶⁸⁹ is an apocalyptic number.

It is an amenable number.

51689 is a deficient number, since it is larger than the sum of its proper divisors (6679).

51689 is a wasteful number, since it uses less digits than its factorization.

51689 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 2160, while the sum is 29.

The square root of 51689 is about 227.3521497589. The cubic root of 51689 is about 37.2505517688.

The spelling of 51689 in words is "fifty-one thousand, six hundred eighty-nine".