51384 has 16 divisors (see below), whose sum is σ = 128520. Its totient is φ = 17120.

The previous prime is 51383. The next prime is 51407. The reversal of 51384 is 48315.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 51384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51383) 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, 1047 + ... + 1094.

2⁵¹³⁸⁴ is an apocalyptic number.

It is an amenable number.

51384 is an abundant number, since it is smaller than the sum of its proper divisors (77136).

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 (64260).

51384 is a wasteful number, since it uses less digits than its factorization.

51384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2146 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 51384 is about 226.6803917413. The cubic root of 51384 is about 37.1771393824.

Adding to 51384 its reverse (48315), we get a palindrome (99699).

It can be divided in two parts, 51 and 384, that added together give a triangular number (435 = T₂₉).

The spelling of 51384 in words is "fifty-one thousand, three hundred eighty-four".