5766 has 12 divisors (see below), whose sum is σ = 11916. Its totient is φ = 1860.

The previous prime is 5749. The next prime is 5779. The reversal of 5766 is 6675.

It is a d-powerful number, because it can be written as **5**^{5} + **6**^{4} + **7**^{2} + **6**^{4} .

Its product of digits (1260) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is an unprimeable number.

5766 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 171 + ... + 201.

It is an arithmetic number, because the mean of its divisors is an integer number (993).

5766 is an abundant number, since it is smaller than the sum of its proper divisors (6150).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5958).

5766 is a wasteful number, since it uses less digits than its factorization.

5766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 36 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 5766 is about 75.9341820263. The cubic root of 5766 is about 17.9318409996.

Multiplying 5766 by its sum of digits (24), we get a square (138384 = 372^{2}).

Subtracting 5766 from its reverse (6675), we obtain a palindrome (909).

The spelling of 5766 in words is "five thousand, seven hundred sixty-six".

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