51884 has 24 divisors (see below), whose sum is σ = 110880. Its totient is φ = 20736.

The previous prime is 51871. The next prime is 51893. The reversal of 51884 is 48815.

51884 = T₇₉ + T₈₀ + ... + T₉₂.

51884 = 77² + 78² + ... + 84².

51884 is nontrivially palindromic in base 16.

51884 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 422 + ... + 530.

It is an arithmetic number, because the mean of its divisors is an integer number (4620).

2⁵¹⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55440).

51884 is an abundant number, since it is smaller than the sum of its proper divisors (58996).

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

51884 is a wasteful number, since it uses less digits than its factorization.

51884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 135 counting only the distinct ones).

The product of its digits is 1280, while the sum is 26.

The square root of 51884 is about 227.7805961885. The cubic root of 51884 is about 37.2973363344.

The spelling of 51884 in words is "fifty-one thousand, eight hundred eighty-four".