51738 has 8 divisors (see below), whose sum is σ = 103488. Its totient is φ = 17244.

The previous prime is 51721. The next prime is 51749. The reversal of 51738 is 83715.

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

51738 is an admirable number.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

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, 4306 + ... + 4317.

It is an arithmetic number, because the mean of its divisors is an integer number (12936).

2⁵¹⁷³⁸ is an apocalyptic number.

51738 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51744).

51738 is a wasteful number, since it uses less digits than its factorization.

51738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8628.

The product of its digits is 840, while the sum is 24.

The square root of 51738 is about 227.4598865734. The cubic root of 51738 is about 37.2623189440.

It can be divided in two parts, 517 and 38, that added together give a palindrome (555).

The spelling of 51738 in words is "fifty-one thousand, seven hundred thirty-eight".