5864 has 8 divisors (see below), whose sum is σ = 11010. Its totient is φ = 2928.

The previous prime is 5861. The next prime is 5867. The reversal of 5864 is 4685.

5864 = T₉ + T₁₀ + ... + T₃₂.

It is an interprime number because it is at equal distance from previous prime (5861) and next prime (5867).

It can be written as a sum of positive squares in only one way, i.e., 3364 + 2500 = 58^2 + 50^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (5861) 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 as a sum of consecutive naturals, namely, 359 + ... + 374.

2⁵⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

5864 is a deficient number, since it is larger than the sum of its proper divisors (5146).

5864 is a wasteful number, since it uses less digits than its factorization.

5864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 735 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 5864 is about 76.5767588763. The cubic root of 5864 is about 18.0328617799.

The spelling of 5864 in words is "five thousand, eight hundred sixty-four".