5764 has 12 divisors (see below), whose sum is σ = 11088. Its totient is φ = 2600.

The previous prime is 5749. The next prime is 5779. The reversal of 5764 is 4675.

5764 = T₁₁ + T₁₂ + ... + T₃₂.

It is an interprime number because it is at equal distance from previous prime (5749) and next prime (5779).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22 + ... + 109.

It is an arithmetic number, because the mean of its divisors is an integer number (924).

2⁵⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

5764 is a deficient number, since it is larger than the sum of its proper divisors (5324).

5764 is a wasteful number, since it uses less digits than its factorization.

5764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 144 counting only the distinct ones).

The product of its digits is 840, while the sum is 22.

The square root of 5764 is about 75.9210115844. The cubic root of 5764 is about 17.9297674749.

5764 divided by its sum of digits (22) gives a palindrome (262).

Subtracting from 5764 its reverse (4675), we obtain a square (1089 = 33²).

It can be divided in two parts, 576 and 4, that multiplied together give a square (2304 = 48²).

The spelling of 5764 in words is "five thousand, seven hundred sixty-four".