5964 has 24 divisors (see below), whose sum is σ = 16128. Its totient is φ = 1680.

The previous prime is 5953. The next prime is 5981. The reversal of 5964 is 4695.

5964 = T₅ + T₆ + ... + T₃₂.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 49 + ... + 119.

It is an arithmetic number, because the mean of its divisors is an integer number (672).

2⁵⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8064).

5964 is an abundant number, since it is smaller than the sum of its proper divisors (10164).

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

5964 is a wasteful number, since it uses less digits than its factorization.

5964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 83 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 5964 is about 77.2269383052. The cubic root of 5964 is about 18.1347905884.

Subtracting from 5964 its product of digits (1080), we obtain a palindrome (4884).

It can be divided in two parts, 5 and 964, that added together give a palindrome (969).

The spelling of 5964 in words is "five thousand, nine hundred sixty-four".