51788 has 18 divisors (see below), whose sum is σ = 100548. Its totient is φ = 23320.

The previous prime is 51787. The next prime is 51797. The reversal of 51788 is 88715.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 51788.

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 5 ways as a sum of consecutive naturals, for example, 431 + ... + 537.

It is an arithmetic number, because the mean of its divisors is an integer number (5586).

2⁵¹⁷⁸⁸ is an apocalyptic number.

It is an amenable number.

51788 is a deficient number, since it is larger than the sum of its proper divisors (48760).

51788 is a wasteful number, since it uses less digits than its factorization.

51788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 120 counting only the distinct ones).

The product of its digits is 2240, while the sum is 29.

The square root of 51788 is about 227.5697695213. The cubic root of 51788 is about 37.2743186096.

The spelling of 51788 in words is "fifty-one thousand, seven hundred eighty-eight".