51786 has 32 divisors (see below), whose sum is σ = 132480. Its totient is φ = 14688.

The previous prime is 51769. The next prime is 51787. The reversal of 51786 is 68715.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (51787) 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 15 ways as a sum of consecutive naturals, for example, 310 + ... + 446.

It is an arithmetic number, because the mean of its divisors is an integer number (4140).

2⁵¹⁷⁸⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66240).

51786 is an abundant number, since it is smaller than the sum of its proper divisors (80694).

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

51786 is a wasteful number, since it uses less digits than its factorization.

51786 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 51786 is about 227.5653752222. The cubic root of 51786 is about 37.2738387713.

It can be divided in two parts, 5178 and 6, that added together give a square (5184 = 72²).

The spelling of 51786 in words is "fifty-one thousand, seven hundred eighty-six".