Search a number
5896 = 231167

5896 has 16 divisors (see below), whose sum is σ = 12240. Its totient is φ = 2640.

The previous prime is 5881. The next prime is 5897. The reversal of 5896 is 6985.

Subtracting 5896 from its reverse (6985), we obtain a square (1089 = 332).

It can be divided in two parts, 589 and 6, that added together give a palindrome (595).

It is an alternating number because its digits alternate between odd and even.

Its product of digits (2160) is a multiple of the sum of its prime divisors (80).

It is not an unprimeable number, because it can be changed into a prime (5897) by changing a digit.

5896 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55 + ... + 121.

It is an arithmetic number, because the mean of its divisors is an integer number (765).

25896 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 5896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6120).

5896 is an abundant number, since it is smaller than the sum of its proper divisors (6344).

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

5896 is a wasteful number, since it uses less digits than its factorization.

5896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 80 counting only the distinct ones).

The product of its digits is 2160, while the sum is 28.

The square root of 5896 is about 76.7854152818. The cubic root of 5896 is about 18.0656042246.

The spelling of 5896 in words is "five thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 22 44 67 88 134 268 536 737 1474 2948 5896