5916 has 24 divisors (see below), whose sum is σ = 15120. Its totient is φ = 1792.

The previous prime is 5903. The next prime is 5923. The reversal of 5916 is 6195.

5916 = 10² + 11² + ... + 26².

It is a plaindrome in base 11 and base 14.

It is a nialpdrome in base 6.

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 5892 and 5901.

It is a congruent number.

It is an unprimeable number.

5916 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 190 + ... + 218.

It is an arithmetic number, because the mean of its divisors is an integer number (630).

2⁵⁹¹⁶ 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 5916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560).

5916 is an abundant number, since it is smaller than the sum of its proper divisors (9204).

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

5916 is a wasteful number, since it uses less digits than its factorization.

5916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 51 counting only the distinct ones).

The product of its digits is 270, while the sum is 21.

The square root of 5916 is about 76.9155380921. The cubic root of 5916 is about 18.0860081319.

The spelling of 5916 in words is "five thousand, nine hundred sixteen".