5905 has 4 divisors (see below), whose sum is σ = 7092. Its totient is φ = 4720.

The previous prime is 5903. The next prime is 5923. The reversal of 5905 is 5095.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 5095 = 5 ⋅1019.

It can be written as a sum of positive squares in 2 ways, for example, as 3969 + 1936 = 63^2 + 44^2 .

It is not a de Polignac number, because 5905 - 2¹ = 5903 is a prime.

It is a Duffinian number.

5905 is a lucky number.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (5903) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 586 + ... + 595.

It is an arithmetic number, because the mean of its divisors is an integer number (1773).

2⁵⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

5905 is a deficient number, since it is larger than the sum of its proper divisors (1187).

5905 is a wasteful number, since it uses less digits than its factorization.

5905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186.

The product of its (nonzero) digits is 225, while the sum is 19.

The square root of 5905 is about 76.8439978138. The cubic root of 5905 is about 18.0747916838.

Subtracting from 5905 its sum of digits (19), we obtain a triangular number (5886 = T₁₀₈).

It can be divided in two parts, 590 and 5, that added together give a palindrome (595).

The spelling of 5905 in words is "five thousand, nine hundred five".