51084 has 48 divisors (see below), whose sum is σ = 147840. Its totient is φ = 15120.

The previous prime is 51071. The next prime is 51109. The reversal of 51084 is 48015.

51084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 14.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 51084.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1167 + ... + 1209.

It is an arithmetic number, because the mean of its divisors is an integer number (3080).

2⁵¹⁰⁸⁴ is an apocalyptic number.

51084 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73920).

51084 is an abundant number, since it is smaller than the sum of its proper divisors (96756).

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

51084 is a wasteful number, since it uses less digits than its factorization.

51084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 51084 is about 226.0176984220. The cubic root of 51084 is about 37.1046465314.

Adding to 51084 its reverse (48015), we get a palindrome (99099).

It can be divided in two parts, 5 and 1084, that added together give a square (1089 = 33²).

The spelling of 51084 in words is "fifty-one thousand, eighty-four".