51766 has 16 divisors (see below), whose sum is σ = 91728. Its totient is φ = 21600.

The previous prime is 51749. The next prime is 51767. The reversal of 51766 is 66715.

51766 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 51766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196 + ... + 376.

It is an arithmetic number, because the mean of its divisors is an integer number (5733).

2⁵¹⁷⁶⁶ is an apocalyptic number.

51766 is a deficient number, since it is larger than the sum of its proper divisors (39962).

51766 is a wasteful number, since it uses less digits than its factorization.

51766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207.

The product of its digits is 1260, while the sum is 25.

The square root of 51766 is about 227.5214275623. The cubic root of 51766 is about 37.2690397087.

It can be divided in two parts, 5 and 1766, that added together give a palindrome (1771).

The spelling of 51766 in words is "fifty-one thousand, seven hundred sixty-six".