5895 has 12 divisors (see below), whose sum is σ = 10296. Its totient is φ = 3120.

The previous prime is 5881. The next prime is 5897. The reversal of 5895 is 5985.

It is not a de Polignac number, because 5895 - 2⁴ = 5879 is a prime.

It is an Ulam number.

It is a plaindrome in base 11.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5897) 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 in 11 ways as a sum of consecutive naturals, for example, 21 + ... + 110.

It is an arithmetic number, because the mean of its divisors is an integer number (858).

2⁵⁸⁹⁵ is an apocalyptic number.

5895 is a deficient number, since it is larger than the sum of its proper divisors (4401).

5895 is a wasteful number, since it uses less digits than its factorization.

5895 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 139 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 5895 is about 76.7789033524. The cubic root of 5895 is about 18.0645828188.

Subtracting from 5895 its product of digits (1800), we obtain a triangular number (4095 = T₉₀).

It can be divided in two parts, 58 and 95, that added together give a triangular number (153 = T₁₇).

The spelling of 5895 in words is "five thousand, eight hundred ninety-five".